{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f049f625",
   "metadata": {},
   "source": [
    "Chapter 8: Dynamic Social Networks"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e599beb",
   "metadata": {},
   "source": [
    "Script 8-1: Create example dynamic network to plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "e3bfa228",
   "metadata": {},
   "outputs": [],
   "source": [
    "#create Figure 8-4\n",
    "#import packages\n",
    "import dynetx as dn\n",
    "\n",
    "#create an empty graph\n",
    "g = dn.DynGraph()\n",
    "\n",
    "#add vertices and edges with time information added\n",
    "g.add_interaction(u=\"D\", v=\"E\", t=0, e=2) # adding the edge (\"D\",\"E\") at t=0 that vanishes at time e=2\n",
    "g.add_interactions_from([(\"C\", \"F\"), (\"F\", \"E\")], t=1) # adding some edges at time t=1\n",
    "g.add_interactions_from([(\"B\", \"E\"), (\"A\", \"B\")], t=2) # adding some edges at time t=2\n",
    "g.add_interactions_from([(\"B\", \"C\"),(\"C\",\"D\")], t=3) # adding some edges at time t=3\n",
    "g.add_interaction(u=\"A\", v=\"C\", t=4) # adding some edges at time t=4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "e9efc9bf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  1\n"
     ]
    },
    {
     "data": {
      "image/png": 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o2267LQYGBuLZZ5+N5557Lh5++GE3QgdgXiRvQAIHIBEnlIAEDkAiBiUQERI4APMneQM3kMABmAsnlMANJHAA5sKgBCYlgQMwW5I3MCMJHIDpOKEEZiSBAzAdgxKYFQkcgKlI3sCcSeAATOSEEpgzCRyAiQxKYF4kcADGSd5AYhI4QLY5oQQSk8ABss2gBCpCAgfILskbqDgJHCBbnFACFSeBA2SLQQlUhQQOkB2SN1B1EjhAujmhBKpOAgdIN4MSqAkJHCC9JG+g5iRwgHRxQgnUnAQOkC4GJVAXEjhAekjeQN1J4ADNzQklUHcSOEBzMyiBhiCBAzQvyRtoOBI4QHNxQgk0HAkcoLkYlEBDksABmofkDTQ8CRygsTmhBBqeBA7Q2AxKoClI4ACNS/IGmo4EDtBYnFACTUcCB2gsBiXQlCRwgMYheQNNTwIHqC8nlEDTk8AB6sugBFJBAgeoH8kbSB0JHKC2nFACqSOBA9SWQQmkkgQOUDuSN5B6EjhAdTmhBFJPAgeoLoMSyAQJHKB6JG8gcyRwgMpyQglkjgQOUFkGJZBJEjhA5UjeQOZJ4ADJOKEEMk8CB0jGoAQICRwgCckb4DoSOMDcOKEEuI4EDjA3BiXAJCRwgNmTvAFmIIEDTM8JJcAMJHCA6RmUALMggQNMTfIGmCMJHOBaTigB5kgCB7iWQQkwDxI4wK9I3gAJSeBA1jmhBEhIAgeyzqAEqAAJHMgyyRugwiRwIGucUAJUmAQOZI1BCVAFEjiQJZI3QJVJ4EDaOaEEqDIJHEg7gxKgBiRwIM0kb4Aak8CBtHFCCVBjEjiQNgYlQB1I4ECaSN4AdSaBA83OCSVAnUngQLMzKAEagAQONDPJG6DBSOBAs3FCCdBgJHCg2RiUAA1IAgeaieQN0OAkcKDROaEEaHASONDoDEqAJiCBA41M8gZoMhI40GicUAI0GQkcaDQGJUATksCBRiJ5AzQ5CRyoNyeUAE1OAgfqzaAESAEJHKgnyRsgZSRwoNacUAKkjAQO1JpBCZBCEjhQS5I3QMpJ4EC1OaEESDkJHKg2gxIgAyRwoJokb4CMkcCBSnNCCZAxEjhQaQYlQAZJ4EAlSd4AGSeBA0k5oQTIOAkcSMqgBEACBxKRvAG4hgQOzJUTSgCuIYEDc2VQAnADCRyYC8kbgGlJ4MBMnFACMC0JHJiJQQnAjCRwYDqSNwBzIoED13NCCcCcSODA9QxKAOZMAgcmkrwBSEQCB5xQApCIBA4YlAAkJoFDtkneAFRU0gQ+cnksTg2PxJWxUixoycfyjvZob2up0tUClWBQAlBxZ8+ejd7e3jh48GD09fXF1q1bI5+fOoqdOHcxdh8ejANvD8XghdGY+A9TLiK6Fi+M7tWdseXerli5dFHVrx+YG4MSgKooFovR398f27dvj56enti1a1d0dnZe8z1nLozG1n3H4tDJ81HI56JYmvqfpPHH71+xJHZuXhvLFi+s9h8BmCWDEoCqmiqBv3xkMLa98laMlcrTDsnrFfK5aMnnom/TmnhsXVe1LhuYA4MSgKq7PoHf+hv/Ov5w4ETi531646p4sntlBa4QSMKgBKAmxhP4H33/cHR86Xcq9rzfemRtPOqkEurKoASgZs5cGI31f3ggrhTLkcvlrnns0o8HYvgH35nyZ5d+bWfcdPtnb/h6W0s+Bp56wGsqoY7chwGAmtm671iUIhfXbclrdHz5G9Ha8ekbvt66ZPJTyLFSObbuOxYvPXFvpS4TmCODEoCaOHHuYhw6eX7G72v9xO3RdtvsXxdZLJXj0MnzcXLoYqzodEshqAeflANATew+PBiF/DRHkwkU8rnY9eZgVZ4bmJlBCUBNHHh7aHa3ByqXolwq3vDfdIqlchw47qMeoV4kbwCq7tLlsRi8MDqr7333z3/vxi/m8nH7778y7c8NDo/GyOUxH9MIdeBvHQBVd3p4JGZ7S5GOr/xutHYsu/aL072L56pyRJwaHok1n7x1ztcHJGNQAlB1V8ZKs/7e1o5lc3pTznx/D1A5XkMJQNUtaKnNPze1+j3AtfzNA6Dqlne0R3Xe3/0ruau/B6g9yRuAqmtva4muxQvj9CzemPPBz05HTPKu7paP3xaFhVO/PrKrY6E35ECd+JsHQE10r+6Mlw6fnvHWQVN9/OLiL/1OLPrcQ5M+VsjnontVZ9JLBObJZ3kDUBMnzl2M3/rOwao9/8BTX/RJOVAnXkMJQE2sXLoo7l+xpOKflpOLcvzTFR3GJNSRQQlAzezcvDZaKjooy1H84Er83b4XY2jIJ+VAvRiUANTMssULo2/Tmgo+Yy7+3Wfb4ydHDsU999wTr7/+egWfG5gtgxKAmnpsXVc8vXFVRZ7rmY2ro+/fPBRHjx6N1atXx/r162PHjh1RKrnBOdSSN+UAUBcvHxmMba+8FWOl8ozv/J6okM9FSz4X/ZvWxKPruj76erFYjP7+/ti+fXv09PTErl27orPTO7+hFgxKAOrmzIXR2LrvWBw6eT4K+dy0w3L88ftXLImdm9fGssULJ/2+gYGB2LJlSxQKhdi7d2888MAD1bp84CqDEoC6O3HuYuw+PBgHjg/F4PBoTPyHKRcf3rS8e1VnPH5f16zezX327Nno7e2NgwcPRl9fX2zdujXyea/ygmoxKAFoKCOXx+LU8EhcGSvFgpZ8LO9on9cn4EjgUDsGJQCpNjGB79mzJx588MF6XxKkjvN/AFKtp6fno3eBb9iwwbvAoQoMSgBS77bbbouBgYF49tln47nnnouHH37YjdChgiRvADJFAofKc0IJQKZI4FB5BiUAmSOBQ2VJ3gBkmgQOyTmhBCDTxhP4nXfeKYHDPDmhBIBwI3RIwqAEgAkkcJg7yRsAJpgsgReLxXpfFjQ0J5QAMAkJHGbPoASAaUjgMDPJGwCmIYHDzJxQAsAsSOAwNYMSAOZAAocbSd4AMAcSONzICSUAzEOxWIzt27dHf3+/BE7mGZQAkMD+/fujt7dXAifTJG8ASGDDhg0SOJnnhBIAKkACJ8sMSgCoIAmcLJK8AaCCJHCyyAklAFSBBE6WGJQAUEUSOFkgeQNAFUngZIETSgCoAQmcNDMoAaCGJHDSSPIGgBqSwEkjJ5QAUAcSOGliUAJAHUngpIHkDQB1JIGTBk4oAaABSOA0M4MSABqIBE4zkrwBoIFI4DQjJ5QA0IAkcJqJQQkADWz//v2xZcuWyOfzEjgNS/IGgAYmgdMMnFACQBOYmMA3bNgQu3btiqVLl9b7siAiDEoAaCrjCTyXy8XevXslcBqC5A0ATWQ8gd91110SOA3DCSUANCEJnEZiUAJAE5PAaQSSNwA0MQmcRuCEEgBSQAKnngxKAEgRCZx6kLwBIEUkcOrBCSUApJAETi0ZlACQYhI4tSB5A0CKXZ/At2/fLoFTcU4oASADJHCqyaAEgAyRwKkGyRsAMkQCpxqcUAJABkngVJJBCQAZJoFTCZI3AGTYeAK/++67JXDmzQklABDFYjF27NgRfX19EjhzZlACAB+RwJkPyRsA+IgEznw4oQQAbiCBMxcGJQAwJQmc2ZC8AYApSeDMhhNKAGBGEjjTMSgBgFmbmMD37NkT3d3d9b4kGoDkDQDM2sQE3tPTI4ETEU4oAYB5kMCZyKAEAOZNAidC8gYAEpDAiXBCCQBUgASebQYlAFAxEng2Sd4AQMVI4NnkhBIAqDgJPFsMSgCgaiTwbJC8AYCqkcCzwQklAFB1Eni6GZQAQM289tpr0dvbK4GnjOQNANTM+vXrJfAUckIJANScBJ4uBiUAUDcSeDpI3gBA3Ujg6eCEEgCoOwm8uRmUAEDDkMCbk+QNADQMCbw5OaEEABqOBN5cDEoAoGFJ4M1B8gYAGpYE3hycUAIADa9YLMYLL7wQzz//vATegAxKAKBpSOCNSfIGAJrG9Qm8v79fAm8ATigBgKYzMYGvX78+du/eLYHXkUEJADQtCbwxSN4AQNOSwBuDE0oAoOlJ4PVlUAIAqSGB14fkDQCkhgReH04oAYDUkcBry6AEAFJLAq8NyRsASK3xBL5mzRoJvIqcUAIAqSeBV5dBCQBkhgReHZI3AJAZlUrgI5fH4q2/fy/+dvDn8dbfvxcjl8eqcLXNwwklAJA580ngJ85djN2HB+PA20MxeGE0Jg6oXER0LV4Y3as7Y8u9XbFy6aKqXn+jMSgBgMyaTQI/c2E0tu47FodOno9CPhfF0tTTafzx+1csiZ2b18ayxQurefkNQ/IGADJrpgT+8pHB6Pn26/HGO8MREdOOyYmPv/HOcPR8+/V4+chg9S6+gTihBAAyb7IE/t9+8n68+OrxxM/99MZV8WT3ygpcZeMyKAEArhpP4IVVX4zW3/y3FXvebz2yNh5d11Wx52s0BiUAwAR/8/bp+OqfHo1SrhC5XK4iz9nWko+Bpx5I7WsqW+p9AQAAjeTbf/Vu5FtaozzJ6yUv/Xgghn/wnV99odAa+Zvao7VjWdz8mc/HLZ/dGIX2f3DDz42VyrF137F46Yl7q3fhdWRQAgBcdeLcxTh08vyM39fx5W9Ea8eno1wai+LIe3H5//0k3nvzv8f7h/fFkn/5+3Hz8nuu+f5iqRyHTp6Pk0MXY0Vn+m4p5F3eAABX7T48GIX8zJm79RO3R9un7oyblv3DaL/zN2Nxz2/HJ//9H0duwU3xs//xQhRHfn7DzxTyudj1Zjrf9W1QAgBcdeDtoRlvDTSVlls74+Prn4jylV/Exb/94Q2PF0vlOHB8KOklNiSDEgAgIi5dHovBC6OJnuPmO/5JRC4fl8/870kfHxweTeXHNBqUAAARcXp4JJLe+ia/4KbIL/xYFC9dmPTxckScGh5J+Fsaj0EJABARV8ZKlXmiGVZpxX5PAzEoAQAiYkFL8llUuvLLKP3i/Sjcsriqv6fRpO9PBAAwD8s72iPpbcx/8dMjEeVStHWtnfTx3NXfkzYGJQBARLS3tURXgk+yGXtvKH5+4E8j19Yeiz7/pUm/p6tjYbS3pe824On7EwEAzFP36s546fDpGW8d9MHPTkeUilEuFaM0+l788sxbcenYQORy+eh85JtRWHjrDT9TyOeie1VntS69rgxKAICrttzbFX/216dm/L6PPn6x0BL5tluitePTcet9X41bPvfQpGMy4sP7UD5+X1flLraB5MrlctJ3yAMApMbXv3c43nhneN43OJ9MIZ+LL9zRkdrP8vYaSgCACXZuXhsts/j4xbloyedi5+bJ36iTBgYlAMAEyxYvjL5Nayr6nP2b1sSyBG/4aXQGJQDAdR5b1xVPb1xVked6ZuPqeHRdOl87Oc5rKAEApvDykcHY9spbMVYqz+k1lYV8LlryuejftCb1YzLCoAQAmNaZC6Oxdd+xOHTyfBTyuWmH5fjj969YEjs3r0115p7IoAQAmIUT5y7G7sODceD4UAwOj17zkd25+PCm5d2rOuPx+7piReeiel1mXRiUAABzNHJ5LE4Nj8SVsVIsaMnH8o72VH4CzmwZlAAAJOJd3gAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJGJQAgCQiEEJAEAiBiUAAIkYlAAAJPL/AY13h12hD9jjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  2\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  3\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  4\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#create plots for each time point\n",
    "for i in range (5):\n",
    "    g1 = g.time_slice(i)\n",
    "    nx.draw(g1,with_labels=True)\n",
    "    print (\"snaptshot at t = \", i)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "f08b81ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  0\n",
      "[('D', 'E')]\n",
      "snaptshot at t =  1\n",
      "[('D', 'E'), ('E', 'F'), ('F', 'C')]\n",
      "snaptshot at t =  2\n",
      "[('E', 'B'), ('B', 'A')]\n",
      "snaptshot at t =  3\n",
      "[('D', 'C'), ('C', 'B')]\n",
      "snaptshot at t =  4\n",
      "[('C', 'A')]\n"
     ]
    }
   ],
   "source": [
    "#create lists of edges at each time point\n",
    "for i in range (5):\n",
    "    g1 = g.time_slice(i)\n",
    "    print (\"snaptshot at t = \", i)\n",
    "    print(g1.edges())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "21e361bd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('D', 'E', '+', 0)\n",
      "('C', 'F', '+', 1)\n",
      "('F', 'E', '+', 1)\n",
      "('D', 'E', '-', 2)\n",
      "('B', 'E', '+', 2)\n",
      "('A', 'B', '+', 2)\n",
      "('B', 'C', '+', 3)\n",
      "('C', 'D', '+', 3)\n",
      "('A', 'C', '+', 4)\n"
     ]
    }
   ],
   "source": [
    "#print interaction stream\n",
    "for i in g.stream_interactions():\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c96d3460",
   "metadata": {},
   "source": [
    "Script 8-2: Crocodiles network deep dive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b6890d7a",
   "metadata": {},
   "outputs": [],
   "source": [
    "#import packages\n",
    "import networkx as nx\n",
    "import dynetx as dn\n",
    "from past.builtins import xrange\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "21de7128",
   "metadata": {},
   "outputs": [],
   "source": [
    "#create a dynamic graph object\n",
    "crocodile = dn.DynGraph() # empty dynamic graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a50270b9",
   "metadata": {},
   "outputs": [],
   "source": [
    "#fill in relevant interactions\n",
    "crocodile.add_interaction(u=\"Croc1\", v=\"Croc2\",t=0)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\"),(\"Croc3\",\"Croc4\")],t=1)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\"),(\"Croc3\",\"Croc4\")],t=2)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\")],t=3)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\"),(\"Croc2\",\"Croc3\")],t=4)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\"),(\"Croc2\",\"Croc3\")],t=5)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\")],t=6)\n",
    "crocodile.add_interactions_from([(\"Croc3\",\"Croc4\")],t=7)\n",
    "crocodile.add_interactions_from([(\"Croc3\",\"Croc4\")],t=8)\n",
    "crocodile.add_interactions_from([(\"Croc2\",\"Croc3\"),(\"Croc3\",\"Croc4\")],t=9)\n",
    "crocodile.add_interactions_from([(\"Croc2\",\"Croc3\")],t=10)\n",
    "crocodile.add_interactions_from([(\"Croc1\",\"Croc2\"),(\"Croc2\",\"Croc3\")],t=11)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b0e03568",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "snaptshot at t =  0\n",
      "[('Croc1', 'Croc2')]\n",
      "snaptshot at t =  1\n",
      "[('Croc1', 'Croc2'), ('Croc3', 'Croc4')]\n",
      "snaptshot at t =  2\n",
      "[('Croc1', 'Croc2'), ('Croc3', 'Croc4')]\n",
      "snaptshot at t =  3\n",
      "[('Croc1', 'Croc2')]\n",
      "snaptshot at t =  4\n",
      "[('Croc1', 'Croc2'), ('Croc2', 'Croc3')]\n",
      "snaptshot at t =  5\n",
      "[('Croc1', 'Croc2'), ('Croc2', 'Croc3')]\n",
      "snaptshot at t =  6\n",
      "[('Croc1', 'Croc2')]\n",
      "snaptshot at t =  7\n",
      "[('Croc3', 'Croc4')]\n",
      "snaptshot at t =  8\n",
      "[('Croc3', 'Croc4')]\n",
      "snaptshot at t =  9\n",
      "[('Croc2', 'Croc3'), ('Croc3', 'Croc4')]\n",
      "snaptshot at t =  10\n",
      "[('Croc2', 'Croc3')]\n",
      "snaptshot at t =  11\n",
      "[('Croc1', 'Croc2'), ('Croc2', 'Croc3')]\n"
     ]
    }
   ],
   "source": [
    "for i in range (12):\n",
    "    g1 = crocodile.time_slice(i)\n",
    "    print (\"snaptshot at t = \", i)\n",
    "    print(g1.edges())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "15787089",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot time slices\n",
    "for i in range(12):\n",
    "    g1 = crocodile.time_slice(i)\n",
    "    nx.draw(g1,with_labels=True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a2ddfbaf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#slice at time t=2\n",
    "g1 = crocodile.time_slice(2)\n",
    "nx.draw(g1,with_labels=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "5136deb2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('Croc1', 'Croc2', '+', 0)\n",
      "('Croc3', 'Croc4', '+', 1)\n",
      "('Croc2', 'Croc3', '+', 4)\n",
      "('Croc1', 'Croc2', '-', 7)\n",
      "('Croc3', 'Croc4', '+', 7)\n",
      "('Croc2', 'Croc3', '+', 9)\n",
      "('Croc3', 'Croc4', '-', 10)\n",
      "('Croc1', 'Croc2', '+', 11)\n",
      "('Croc2', 'Croc3', '-', 12)\n"
     ]
    }
   ],
   "source": [
    "for i in crocodile.stream_interactions():\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9e0447ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#run epidemic model\n",
    "import ndlib.models.ModelConfig as mc\n",
    "%matplotlib inline\n",
    "from ndlib.viz.mpl.DiffusionTrend import DiffusionTrend\n",
    "import ndlib.models.dynamic as dm\n",
    "\n",
    "# model selection\n",
    "model = dm.DynSIRModel(crocodile)\n",
    "\n",
    "# model configuration\n",
    "config = mc.Configuration()\n",
    "config.add_model_parameter('beta', 0.3) # infection rate\n",
    "config.add_model_parameter('gamma', 0.05) # recovery rate\n",
    "config.add_model_parameter(\"percentage_infected\", 0.25)\n",
    "model.set_initial_status(config)\n",
    "\n",
    "# simulate snapshot based execution\n",
    "iterations = model.execute_snapshots()\n",
    "#iterations = model.execute_iterations()\n",
    "trends = model.build_trends(iterations)\n",
    "\n",
    "#visualize trends\n",
    "viz = DiffusionTrend(model, trends)\n",
    "viz.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "22c3adbf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  0 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  1 , nodes = 4 , max degree =  1\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  2 , nodes = 4 , max degree =  1\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  3 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  4 , nodes = 3 , max degree =  2\n",
      "diameter =  2\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  5 , nodes = 3 , max degree =  2\n",
      "diameter =  2\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  6 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  7 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  8 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  9 , nodes = 3 , max degree =  2\n",
      "diameter =  2\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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1alXTpEkTM2jQIPPVV1956iIjI83NN99cYD/t2rUz7dq187zPf4pq69atXnX5Tw799nHs4syPMcbs2rXL9O7d29SuXdsEBASY8PBwc+ONN5rZs2d7akaPHm3i4uJM9erVjdPpNA0bNjQjRowwmZmZxhhjjh49avr372+aNGliqlSpYqpWrWpatmxp/va3v3kezS5Kenq66dKli3G5XMbpdJqYmJgCT9NlZGSYBx54wNStW9cEBASYWrVqmcTERPPcc88VmIv33nuvQF/95gmmEydOmF69epmrrrrK87vx69qXXnqp0LG++OKLJioqyjidTtO0aVMzZ84cz+/urxXnKSpjjBkzZoyJiIgwfn5+hf4c16xZYySZF198sagpBHzGYYwx5RGsAAD2euyxxzRr1iwdOnSo0JvRAV/jEhUA4LLZtGmTvvzyS82cOVODBg0i3KDcsIIDALhsHA6HgoOD1bVrV73++ut89w3KDSs4AIDLhr+ZcaXgi/4AAIB1CDgAAMA6BBwAAGCdP+Q9OBcuXNDhw4dVrVq1Qr/WHAAAXHmMMcrJyVFERIT8/Ipeo/lDBpzDhw+rfv365T0MAABQCocOHSryH7uV/qABJ//rxA8dOqSQkJByHg0AACiO7Oxs1a9fv1j/8O8fMuDkX5YKCQkh4AAAUMEU5/YSbjIGAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdcok4MycOVPR0dEKCgpSbGys1q1bV2T92rVrFRsbq6CgIDVs2FCzZ8++aO0777wjh8Ohnj17XuZRAwCAisrnAWfRokUaPny4xo4dqx07dqht27bq0qWLDh48WGh9RkaGunbtqrZt22rHjh166qmnNHToUC1evLhA7YEDBzRq1Ci1bdvW14cBAAAqEIcxxvhyB/Hx8WrdurVmzZrlaWvatKl69uypiRMnFqh/8skntWzZMu3du9fTNnjwYO3atUvp6emetry8PLVr107333+/1q1bp5MnT+qDDz4o1piys7PlcrmUlZWlkJCQ0h8cAAAoMyU5f/t0BefcuXPavn27kpKSvNqTkpK0cePGQvukp6cXqO/UqZO2bdum8+fPe9omTJigWrVqacCAAZccx9mzZ5Wdne31AgAA9vJpwMnMzFReXp7CwsK82sPCwuR2uwvt43a7C63Pzc1VZmamJGnDhg2aO3eu5syZU6xxTJw4US6Xy/OqX79+KY4GAABUFGVyk7HD4fB6b4wp0Hap+vz2nJwc3XPPPZozZ45CQ0OLtf8xY8YoKyvL8zp06FAJjwAAAFQk/r7ceGhoqCpVqlRgtebYsWMFVmnyhYeHF1rv7++vmjVravfu3fr222/VvXt3z+cXLlyQJPn7+2vfvn2KiYnx6u90OuV0Oi/HIQEAgArApys4gYGBio2NVVpamld7WlqaEhMTC+2TkJBQoH7FihWKi4tTQECAmjRpos8//1w7d+70vHr06KH27dtr586dXH4CAAC+XcGRpJEjR6pfv36Ki4tTQkKC/vGPf+jgwYMaPHiwpF8uH33//fd64403JP3yxNT06dM1cuRIDRw4UOnp6Zo7d64WLlwoSQoKClLz5s299nHVVVdJUoF2AADwx+TzgNOnTx8dP35cEyZM0JEjR9S8eXOlpKQoMjJSknTkyBGv78SJjo5WSkqKRowYoRkzZigiIkLTpk3T7bff7uuhAgAAS/j8e3CuRHwPDgAAFc8V8z04AAAA5YGAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwTpkEnJkzZyo6OlpBQUGKjY3VunXriqxfu3atYmNjFRQUpIYNG2r27Nlen8+ZM0dt27ZV9erVVb16dXXo0EFbtmzx5SEAAIAKxOcBZ9GiRRo+fLjGjh2rHTt2qG3bturSpYsOHjxYaH1GRoa6du2qtm3baseOHXrqqac0dOhQLV682FOzZs0a3XXXXVq9erXS09PVoEEDJSUl6fvvv/f14QAAgArAYYwxvtxBfHy8WrdurVmzZnnamjZtqp49e2rixIkF6p988kktW7ZMe/fu9bQNHjxYu3btUnp6eqH7yMvLU/Xq1TV9+nTde++9lxxTdna2XC6XsrKyFBISUoqjAgAAZa0k52+fruCcO3dO27dvV1JSkld7UlKSNm7cWGif9PT0AvWdOnXStm3bdP78+UL7nDp1SufPn1eNGjUK/fzs2bPKzs72egEAAHv5NOBkZmYqLy9PYWFhXu1hYWFyu92F9nG73YXW5+bmKjMzs9A+o0ePVt26ddWhQ4dCP584caJcLpfnVb9+/VIcDQAAqCjK5CZjh8Ph9d4YU6DtUvWFtUvS5MmTtXDhQi1ZskRBQUGFbm/MmDHKysryvA4dOlTSQwAAABWIvy83HhoaqkqVKhVYrTl27FiBVZp84eHhhdb7+/urZs2aXu0vv/yyXnjhBa1cuVItW7a86DicTqecTmcpjwIAAFQ0Pl3BCQwMVGxsrNLS0rza09LSlJiYWGifhISEAvUrVqxQXFycAgICPG0vvfSSnn32WaWmpiouLu7yDx4AAFRYPr9ENXLkSL322muaN2+e9u7dqxEjRujgwYMaPHiwpF8uH/36yafBgwfrwIEDGjlypPbu3at58+Zp7ty5GjVqlKdm8uTJevrppzVv3jxFRUXJ7XbL7Xbrp59+8vXhAACACsCnl6gkqU+fPjp+/LgmTJigI0eOqHnz5kpJSVFkZKQk6ciRI17fiRMdHa2UlBSNGDFCM2bMUEREhKZNm6bbb7/dUzNz5kydO3dOvXr18trXuHHjlJyc7OtDAgAAVziffw/OlYjvwQEAoOK5Yr4HBwAAoDwQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA65RJwJk5c6aio6MVFBSk2NhYrVu3rsj6tWvXKjY2VkFBQWrYsKFmz55doGbx4sVq1qyZnE6nmjVrpqVLl/pq+AAAoILx9/UOFi1apOHDh2vmzJm6/vrr9eqrr6pLly7as2ePGjRoUKA+IyNDXbt21cCBA/XWW29pw4YNGjJkiGrVqqXbb79dkpSenq4+ffro2Wef1a233qqlS5eqd+/eWr9+veLj4319SBdljNHp83nltn8AAK4klQMqyeFwlMu+HcYY48sdxMfHq3Xr1po1a5anrWnTpurZs6cmTpxYoP7JJ5/UsmXLtHfvXk/b4MGDtWvXLqWnp0uS+vTpo+zsbH388ceems6dO6t69epauHBhgW2ePXtWZ8+e9bzPzs5W/fr1lZWVpZCQkMtynJJ06lyumv338su2PQAAKrI9EzopOPDyraVkZ2fL5XIV6/zt00tU586d0/bt25WUlOTVnpSUpI0bNxbaJz09vUB9p06dtG3bNp0/f77Imottc+LEiXK5XJ5X/fr1S3tIAACgAvDpJarMzEzl5eUpLCzMqz0sLExut7vQPm63u9D63NxcZWZmqk6dOhetudg2x4wZo5EjR3re56/gXG6VAyppz4ROl327AABURJUDKpXbvn1+D46kAtffjDFFXpMrrP637SXZptPplNPpLNGYS8PhcFzWpTgAAFA6Pr1EFRoaqkqVKhVYWTl27FiBFZh84eHhhdb7+/urZs2aRdZcbJsAAOCPxacBJzAwULGxsUpLS/NqT0tLU2JiYqF9EhISCtSvWLFCcXFxCggIKLLmYtsEAAB/LD6/njJy5Ej169dPcXFxSkhI0D/+8Q8dPHhQgwcPlvTL/THff/+93njjDUm/PDE1ffp0jRw5UgMHDlR6errmzp3r9XTUsGHD9Je//EWTJk3SLbfcon/9619auXKl1q9f7+vDAQAAFYDPA06fPn10/PhxTZgwQUeOHFHz5s2VkpKiyMhISdKRI0d08OBBT310dLRSUlI0YsQIzZgxQxEREZo2bZrnO3AkKTExUe+8846efvppPfPMM4qJidGiRYvK9TtwAADAlcPn34NzJSrJc/QAAODKcMV8Dw4AAEB5IOAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKzj04Dz448/ql+/fnK5XHK5XOrXr59OnjxZZB9jjJKTkxUREaHKlSvrhhtu0O7duz2fnzhxQo8++qgaN26s4OBgNWjQQEOHDlVWVpYvDwUAAFQgPg04ffv21c6dO5WamqrU1FTt3LlT/fr1K7LP5MmTNWXKFE2fPl1bt25VeHi4OnbsqJycHEnS4cOHdfjwYb388sv6/PPPNX/+fKWmpmrAgAG+PBQAAFCBOIwxxhcb3rt3r5o1a6ZNmzYpPj5ekrRp0yYlJCToiy++UOPGjQv0McYoIiJCw4cP15NPPilJOnv2rMLCwjRp0iQNGjSo0H299957uueee/Tzzz/L39//kmPLzs6Wy+VSVlaWQkJCfsdRAgCAslKS87fPVnDS09Plcrk84UaSrrvuOrlcLm3cuLHQPhkZGXK73UpKSvK0OZ1OtWvX7qJ9JHkO9GLh5uzZs8rOzvZ6AQAAe/ks4LjdbtWuXbtAe+3ateV2uy/aR5LCwsK82sPCwi7a5/jx43r22WcvurojSRMnTvTcB+RyuVS/fv3iHgYAAKiAShxwkpOT5XA4inxt27ZNkuRwOAr0N8YU2v5rv/38Yn2ys7N18803q1mzZho3btxFtzdmzBhlZWV5XocOHSrOoQIAgArq0jes/MYjjzyiO++8s8iaqKgoffbZZzp69GiBz3744YcCKzT5wsPDJf2yklOnTh1P+7Fjxwr0ycnJUefOnVW1alUtXbpUAQEBFx2P0+mU0+kscswAAMAeJQ44oaGhCg0NvWRdQkKCsrKytGXLFrVp00aStHnzZmVlZSkxMbHQPtHR0QoPD1daWppatWolSTp37pzWrl2rSZMmeeqys7PVqVMnOZ1OLVu2TEFBQSU9DAAAYDGf3YPTtGlTde7cWQMHDtSmTZu0adMmDRw4UN26dfN6gqpJkyZaunSppF8uTQ0fPlwvvPCCli5dqv/93/9V//79FRwcrL59+0r6ZeUmKSlJP//8s+bOnavs7Gy53W653W7l5eX56nAAAEAFUuIVnJJYsGCBhg4d6nkqqkePHpo+fbpXzb59+7y+pO+JJ57Q6dOnNWTIEP3444+Kj4/XihUrVK1aNUnS9u3btXnzZknSn/70J69tZWRkKCoqyodHBAAAKgKffQ/OlYzvwQEAoOK5Ir4HBwAAoLwQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1vFpwPnxxx/Vr18/uVwuuVwu9evXTydPniyyjzFGycnJioiIUOXKlXXDDTdo9+7dF63t0qWLHA6HPvjgg8t/AAAAoELyacDp27evdu7cqdTUVKWmpmrnzp3q169fkX0mT56sKVOmaPr06dq6davCw8PVsWNH5eTkFKidOnWqHA6Hr4YPAAAqKH9fbXjv3r1KTU3Vpk2bFB8fL0maM2eOEhIStG/fPjVu3LhAH2OMpk6dqrFjx+q2226TJP3zn/9UWFiY3n77bQ0aNMhTu2vXLk2ZMkVbt25VnTp1fHUYAACgAvLZCk56erpcLpcn3EjSddddJ5fLpY0bNxbaJyMjQ263W0lJSZ42p9Opdu3aefU5deqU7rrrLk2fPl3h4eGXHMvZs2eVnZ3t9QIAAPbyWcBxu92qXbt2gfbatWvL7XZftI8khYWFebWHhYV59RkxYoQSExN1yy23FGssEydO9NwH5HK5VL9+/eIeBgAAqIBKHHCSk5PlcDiKfG3btk2SCr0/xhhzyftmfvv5r/ssW7ZMq1at0tSpU4s95jFjxigrK8vzOnToULH7AgCAiqfE9+A88sgjuvPOO4usiYqK0meffaajR48W+OyHH34osEKTL/9yk9vt9rqv5tixY54+q1at0v79+3XVVVd59b399tvVtm1brVmzpsB2nU6nnE5nkWMGAAD2KHHACQ0NVWho6CXrEhISlJWVpS1btqhNmzaSpM2bNysrK0uJiYmF9omOjlZ4eLjS0tLUqlUrSdK5c+e0du1aTZo0SZI0evRoPfjgg179WrRoob/97W/q3r17SQ8HAABYyGdPUTVt2lSdO3fWwIED9eqrr0qS/uu//kvdunXzeoKqSZMmmjhxom699VY5HA4NHz5cL7zwgho1aqRGjRrphRdeUHBwsPr27Svpl1Wewm4sbtCggaKjo311OAAAoALxWcCRpAULFmjo0KGep6J69Oih6dOne9Xs27dPWVlZnvdPPPGETp8+rSFDhujHH39UfHy8VqxYoWrVqvlyqAAAwCIOY4wp70GUtezsbLlcLmVlZSkkJKS8hwMAAIqhJOdv/i0qAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwAACAdQg4AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALAOAQcAAFiHgAMAAKxDwAEAANYh4AAAAOsQcAAAgHUIOAAAwDoEHAAAYB0CDgAAsI5/eQ+gPBhjJEnZ2dnlPBIAAFBc+eft/PN4Uf6QAScnJ0eSVL9+/XIeCQAAKKmcnBy5XK4iaxymODHIMhcuXNDhw4dVrVo1ORyOy7rt7Oxs1a9fX4cOHVJISMhl3Tb+H/NcNpjnssE8lx3mumz4ap6NMcrJyVFERIT8/Iq+y+YPuYLj5+enevXq+XQfISEh/MdTBpjnssE8lw3mueww12XDF/N8qZWbfNxkDAAArEPAAQAA1iHgXGZOp1Pjxo2T0+ks76FYjXkuG8xz2WCeyw5zXTauhHn+Q95kDAAA7MYKDgAAsA4BBwAAWIeAAwAArEPAAQAA1iHgAAAA6xBwSmHmzJmKjo5WUFCQYmNjtW7duiLr165dq9jYWAUFBalhw4aaPXt2GY20YivJPC9ZskQdO3ZUrVq1FBISooSEBC1fvrwMR1txlfT3Od+GDRvk7++va6+91rcDtERJ5/ns2bMaO3asIiMj5XQ6FRMTo3nz5pXRaCuuks7zggULdM011yg4OFh16tTR/fffr+PHj5fRaCum//mf/1H37t0VEREhh8OhDz744JJ9yuU8aFAi77zzjgkICDBz5swxe/bsMcOGDTNVqlQxBw4cKLT+m2++McHBwWbYsGFmz549Zs6cOSYgIMC8//77ZTzyiqWk8zxs2DAzadIks2XLFvPll1+aMWPGmICAAPPpp5+W8cgrlpLOc76TJ0+ahg0bmqSkJHPNNdeUzWArsNLMc48ePUx8fLxJS0szGRkZZvPmzWbDhg1lOOqKp6TzvG7dOuPn52f+/ve/m2+++casW7fO/PnPfzY9e/Ys45FXLCkpKWbs2LFm8eLFRpJZunRpkfXldR4k4JRQmzZtzODBg73amjRpYkaPHl1o/RNPPGGaNGni1TZo0CBz3XXX+WyMNijpPBemWbNmZvz48Zd7aFYp7Tz36dPHPP3002bcuHEEnGIo6Tx//PHHxuVymePHj5fF8KxR0nl+6aWXTMOGDb3apk2bZurVq+ezMdqmOAGnvM6DXKIqgXPnzmn79u1KSkryak9KStLGjRsL7ZOenl6gvlOnTtq2bZvOnz/vs7FWZKWZ59+6cOGCcnJyVKNGDV8M0QqlnefXX39d+/fv17hx43w9RCuUZp6XLVumuLg4TZ48WXXr1tXVV1+tUaNG6fTp02Ux5AqpNPOcmJio7777TikpKTLG6OjRo3r//fd18803l8WQ/zDK6zz4h/zXxEsrMzNTeXl5CgsL82oPCwuT2+0utI/b7S60Pjc3V5mZmapTp47PxltRlWaef+uvf/2rfv75Z/Xu3dsXQ7RCaeb5q6++0ujRo7Vu3Tr5+/O/j+IozTx/8803Wr9+vYKCgrR06VJlZmZqyJAhOnHiBPfhXERp5jkxMVELFixQnz59dObMGeXm5qpHjx565ZVXymLIfxjldR5kBacUHA6H13tjTIG2S9UX1g5vJZ3nfAsXLlRycrIWLVqk2rVr+2p41ijuPOfl5alv374aP368rr766rIanjVK8vt84cIFORwOLViwQG3atFHXrl01ZcoUzZ8/n1WcSyjJPO/Zs0dDhw7Vf//3f2v79u1KTU1VRkaGBg8eXBZD/UMpj/Mgf4KVQGhoqCpVqlTgr4Fjx44VSKf5wsPDC6339/dXzZo1fTbWiqw085xv0aJFGjBggN577z116NDBl8Os8Eo6zzk5Odq2bZt27NihRx55RNIvJ2JjjPz9/bVixQrdeOONZTL2iqQ0v8916tRR3bp15XK5PG1NmzaVMUbfffedGjVq5NMxV0SlmeeJEyfq+uuv1+OPPy5JatmypapUqaK2bdvqueeeY4X9Mimv8yArOCUQGBio2NhYpaWlebWnpaUpMTGx0D4JCQkF6lesWKG4uDgFBAT4bKwVWWnmWfpl5aZ///56++23uYZeDCWd55CQEH3++efauXOn5zV48GA1btxYO3fuVHx8fFkNvUIpze/z9ddfr8OHD+unn37ytH355Zfy8/NTvXr1fDreiqo083zq1Cn5+XmfBitVqiTp/1cY8PuV23nQp7cwWyj/McS5c+eaPXv2mOHDh5sqVaqYb7/91hhjzOjRo02/fv089fmPx40YMcLs2bPHzJ07l8fEi6Gk8/z2228bf39/M2PGDHPkyBHP6+TJk+V1CBVCSef5t3iKqnhKOs85OTmmXr16plevXmb37t1m7dq1plGjRubBBx8sr0OoEEo6z6+//rrx9/c3M2fONPv37zfr1683cXFxpk2bNuV1CBVCTk6O2bFjh9mxY4eRZKZMmWJ27NjheRz/SjkPEnBKYcaMGSYyMtIEBgaa1q1bm7Vr13o+u++++0y7du286tesWWNatWplAgMDTVRUlJk1a1YZj7hiKsk8t2vXzkgq8LrvvvvKfuAVTEl/n3+NgFN8JZ3nvXv3mg4dOpjKlSubevXqmZEjR5pTp06V8agrnpLO87Rp00yzZs1M5cqVTZ06dczdd99tvvvuuzIedcWyevXqIv9/e6WcBx3GsA4HAADswj04AADAOgQcAABgHQIOAACwDgEHAABYh4ADAACsQ8ABAADWIeAAAADrEHAAAIB1CDgAAMA6BBwAAGAdAg4AALDO/wEkqQGyOzk44gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  10 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  11 , nodes = 3 , max degree =  2\n",
      "diameter =  2\n",
      "radius =  1\n"
     ]
    }
   ],
   "source": [
    "#obtain network centrality statistics for crocodile network\n",
    "for i in range(12):\n",
    "    dg = crocodile.time_slice(i)\n",
    "    try:\n",
    "        dd = nx.betweenness_centrality(dg)# computing betweenness centrality\n",
    "        plt.plot(dd.values())\n",
    "        plt.title(\"betweenneess centrality\")\n",
    "        print()\n",
    "        plt.show()\n",
    "        print (\"timestamp = \", i,\",\", \"nodes =\", len(dg.nodes()),\",\", \"max degree = \",max(dg.degree().values()))\n",
    "        print (\"diameter = \", nx.diameter(dg))\n",
    "        print (\"radius = \", nx.radius(dg))\n",
    "    except:\n",
    "        print('Infinite value observed.')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d18ee205",
   "metadata": {},
   "source": [
    "Script 8-3: Blue heron interactions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "48d64500",
   "metadata": {},
   "outputs": [],
   "source": [
    "#create empty graph\n",
    "blue_heron = dn.DynGraph() # empty dynamic graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9d7a30a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "#add relevant interactions\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h2\",\"h3\"),(\"h3\",\"h4\"),(\"h4\",\"h5\")],t=0)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h2\",\"h3\"),(\"h3\",\"h4\"),(\"h5\",\"h6\")],t=1)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h2\",\"h3\"),(\"h5\",\"h6\"),(\"h6\",\"h7\")],t=2)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h3\",\"h4\"),(\"h6\",\"h7\")],t=3)\n",
    "blue_heron.add_interactions_from([(\"h2\",\"h3\"),(\"h3\",\"h4\"),(\"h4\",\"h5\"),(\"h6\",\"h7\")],t=4)\n",
    "blue_heron.add_interactions_from([(\"h3\",\"h4\")],t=5)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h2\",\"h3\"),(\"h3\",\"h4\"),(\"h4\",\"h5\"),(\"h5\",\"h6\")],t=6)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h2\",\"h3\"),(\"h3\",\"h4\"),(\"h4\",\"h5\"),(\"h5\",\"h6\"),(\"h6\",\"h7\")], t=7)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h2\",\"h3\"),(\"h3\",\"h4\"),(\"h5\",\"h6\"),(\"h6\",\"h7\")],t=8)\n",
    "blue_heron.add_interactions_from([(\"h1\",\"h2\"),(\"h3\",\"h4\"),(\"h5\",\"h6\"),(\"h6\",\"h7\")],t=9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0fffa100",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAEuCAYAAADx63eqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAXVUlEQVR4nO3df3DU5YHH8c93d5PsQrIEIRBqgiipREWgxAqGnkQ9tY1WzwOtbZn+OFu1wdFyd95MTecc58xNO23VzhWKreJxUq01M+3pGVqBEiUN2BMKorJgDqhEyU8IyUJ2s7v53h8xCwv5uSTZzT7v10zGze531ydMhjff3e/zPJZt27YAADCEI9EDAABgLBE+AIBRCB8AwCiEDwBgFMIHADAK4QMAGIXwAQCMQvgAAEYhfAAAoxA+AIBRCB8AwCiEDwBgFMIHADAK4QMAGIXwAQCMQvgAAEYhfAAAoxA+AIBRCB8AwCiEDwBgFMIHADAK4QMAGMWV6AEAo6HFH1Tlznr5GtrVHgjL63apMNerO4vyNCUzI9HDA5BAlm3bdqIHAYyUPUfatLq6Tm8caJYkBcPd0cfcLodsSSVzclS2tEDz87MTM0gACUX4kDI27DisiiqfAuGIBvqttizJ7XKqvLRQKxbPGrPxAUgOvNWJlJAzI0+eG8rkyJ8/6LG2LXWGIqqo2idJxA8wDOHDuLfnSJvaOkNyRGx5znos+JFPbds2qKuhTrIccs+8UpNvvE+uzAvUGepWRZVP8/KyNS8vOxFDB5AAXNWJcW91dZ36e2ezO+BX5oLP68LvrNOFZetkpXvU+tpT0ccD4YjWVNeNyTgBJAfO+DCutfiDPRey2FJX40Ed3/KMwu1N8lxcpKm3rpJn9lUxx2cV3arGF74X/d62pa37m9XqD3K1J2AIzvgwrlXurI/ePuXbpml3PaYL739WXc2H5N+7+Zzjg0feU9rUmTH3WZIqd9WfcyyA1MQZH0ZMIubO+Rrao1MWsopukytriiRpQsHV6mo8GHNsV9MhnfjTi8pZ9v2Y+wPhbvmOdozK+AAkH8KH8zbw3LkGPbn5wKjNnWsPhKO3nZmTo7ctV4Zs/7Ho96HjH6vpN49q8t/eK3f+3D5eJzSi4wKQvAgfzstgc+cCn0Tw9fcb9eaBlhGZO/fhhx+qtrZWtbW1+tOJXOlTA09hCJ9oUuOL39ekJXcrc+71fR7jdaed15gAjB+ED3HbsOOwvvn5RbrgCw/KM2vBgMfGO3cuFApp9+7d0dDV1tYqGAxqyZIlKi4u1h1FC/Xbuq5+nx/uaFHji48oq+gWZX2mtM9j3C6HCmdkDWk8AMY/woe47DnSpooqX78rpNiRkFpe+ZGCR+sUaW/S9C//u9wXzRt07lxLS4u2b98ejdzOnTt1ySWXqLi4WLfccosqKio0e/ZsWZbVc7w/qN/+8I/9jtO/53WF2xp0ouZFnah5MXr/zH+qPD1WScsX5sX15wBg/CF8iMvq6joFwpEBj8nIu0JZV92ult/9IOb+3rlza76yUD6fL+Zs7uOPP9aiRYu0ZMkSlZeXa9GiRZo0aVK//4+pmRlaemmOulaui4lw9t989fTtz32l3+dblnTdnBymMgAGIXwYtt65c72h6Wv+nOVKl/ezt/cc4IidNWPb0h/2fqScvGXK9rhUXFys4uJiPfTQQ5o7d66cTuewxrOypEDbPmhRZ2jgEPfF7XKqrKRg2M8DMH4RPgzbmXPnpNPz5yxXuho2PCz/3s39fp7Wy+l06nu/+G/9860Lzns88/OzVV5aqIqqfeoMdQ/+hE940hwqLy1kuTLAMIQPw3bm3Dlp8PlzfQnblj46OXJj6r1Yht0ZAAyG8GHYzpw7Jw08f27g1xnZuXMrFs/SvLxsramu09b9zbJ0ejqFdHo/vuvm5KispIAzPcBQhA/D5nWPzK/NaMydm5eXrbUrrlKrP6jKXfXyHe1QeyAkrztNhTOytHwhO7ADpiN8GLbCXK8yXA0xb3f2xQ6HpE/2TbC7w7LDXZIzTZZljfrcuSmZGbrv2tmj9voAxi8WqcawLS8a2py3j35xnz788d8r0tGqppf+tef2iSZJzJ0DkDiWbQ90GQDQt3uff1ub9jUOeBFJfyxLuvny6Vq74qrBDwaAEcYZH+KysqRAbtfw5tv1Yu4cgEQifIhL79w5T9rwfoWYOwcg0bi4BXFj7hyA8YjP+HDe3qlvY+4cgHGD8GHEMHcOwHhA+AAARuHiFgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUVyJHsBQtfiDqtxZL19Du9oDYXndLhXmenVnUZ6mZGYkengAgHHCsm3bTvQgBrLnSJtWV9fpjQPNkqRguDv6mNvlkC2pZE6OypYWaH5+dmIGCQAYN5I6fBt2HFZFlU+BcEQDjdKyJLfLqfLSQq1YPGvMxgcAGH+S9q3OnBl58txQJkf+/EGPtW2pMxRRRdU+SSJ+AIB+JWX49hxpU1tnSI6ILc9Zj4XbGvXR2ntkpbmj93kXL1P2ki+rM9Stiiqf5uVla15e9piOGQAwPiRl+FZX12mw91/zV70ky+E85/5AOKI11XVau+Kq0RkcAGBcS7rwtfiDPRey2FJX40Ed3/KMwu1N8lxcpKm3rhr0+bYtbd3frFZ/kKs9AQDnSLp5fJU766O3T/m2adpdj+nC+59VV/Mh+fdujj720Zpvqn7119Xy2lOKnDoR8xqWpMpd9QIA4GxJFz5fQ3t0ykJW0W1yZU2R05OlCQVXq6vxoBwTvMr9+pO6sOw5zfjGU7K7Tqnl1R/HvEYg3C3f0Y5EDB8AkOSSLnztgXD0tjNzcvS25cqQHQrIke5RxoxPy3I45Zw4WRfc+B0FDv1F3cFTZ71OaMzGDAAYP5IufF73MD92tD7571kT/bzutJEZEAAgpSRd+Apzvcpw9T+s4Mf7FWqtl213K9LZrmObfqGMmVfK4Z4YPcbtcqhwRtZYDBcAMM4k3VWdy4vy9OTmA/0+Hm5r0PE3/kvdp9rkSJ8g96wFyrntX2KOsSUtX5g3yiMFAIxHSblk2b3Pv61N+xoHXKasP5Yl3Xz5dObxAQD6lHRvdUrSypICuV3nTk4fCrfLqbKSghEeEQAgVSRl+ObnZ6u8tFCetOENz5PmUHlpIcuVAQD6lZThk3oWmi4vvUyeNKcsa+BjLdmyw0E9dO1MFqgGAAwoKT/jO9M79W1aU12nrfubZalncnqv3v34rpuTo+53f6/Du97Uxo0b5XTG9zYpACD1JX34erX6g6rcVS/f0Q61B0LyutNUOCNLyxf27MAeDod10003qbi4WI8//niihwsASFLjJnxD0dTUpKKiIq1Zs0Zf/OIXEz0cAEASSqnwSdL27dt1++23q7a2VgUFXN0JAIiVtBe3xOuaa67Ro48+qmXLlunUqVODPwEAYJSUO+OTJNu29bWvfU2WZWn9+vWyBrssFABgjJQ745Mky7L09NNPa/fu3Vq7dm2ihwMASCIpecbXq66uTsXFxXr11Ve1aNGiRA8HAJAEUjp8kvTKK6/ogQce0M6dO5WTkyNJavEHVbmzXr6GdrUHwvK6XSrM9erOop6pEQCA1JXy4ZOkRx55RG+99ZZ+9OxvtHbbIb1xoFmSoju9S6cnw5fMyVHZ0gLNz89OzGABAKPKiPBFIhEtXvGwjs0qUbflHHDXB8vqWei6vLSQ5c8AIAWl5MUtZ3vxf49o98ZfyX9476BbHdm21BmKqKJqnzbsODwm4wMAjJ2k24h2pO050qaKKt+AwesOBXT8j+t0ylcjuzus9JyLlbvih6qo8mleXja7PQBACkn58K2urlMgHBnwmGO//5ns7og+9e2fy+HOVFfTIUlSIBzRmuo6NrUFgBSS0uFr8Qf1xoHm6NleV+NBHd/yjMLtTfJcXKSpt65S+ESTTn3wlvJWrpcjY4IkKSO3Z6kz25a27m9Wqz/I1Z4AkCJSOnyVO+tjvj/l26Zpdz0my5Wuhg0Py793syxXhlyTpqlt26908r2tcmZO1qQlX9HEwiWSJEtS5a563Xft7AT8BACAkZbSF7f4GtpjpixkFd0mV9YUOT1ZmlBwtboaDyrS0apQ81/lyJigvAfW64Ib71fra08q1HJEUs/+f76jHYn6EQAAIyylw9ceCMd878ycHL1tuTJkhwKyXOmSw6VJS+6W5UyTe+aVcs+8Up2Hdp3xOqExGzMAYHSldPi87sHfyU2bNmsIr5M2AqMBACSDlA5fYa5XGa6Bf0R3/ly5vDk6sf03srsjCtS/r8CRd+W5ZGHP4y6HCmdkjcVwAQBjIKXDt7wob9BjLKdLOcu+r87/e1tHnrxLxzb+h6beskppU/IlSbak5QsHfx0AwPiQ8kuW3fv829q0r3HQFVv6YlnSzZdPZx4fAKSQlD7jk6SVJQVyu5xxPdftcqqspGCERwQASKSUD9/8/GyVlxbKkza8HzXdIZWXFrJcGQCkmJQPnyStWDxL5aWXyZPmlGUNfKxlSelOqePN9boi4/jYDBAAMGZS/jO+M71T36Y11XXaur9Zlnomp/fq3Y/vujk5Kisp0IEdm/Xd735XtbW1mjlzZsLGDAAYWUaFr1erP6jKXfXyHe1QeyAkrztNhTOytHxh7A7sTzzxhNatW6eamhplZ2cnbsAAgBFjZPiGyrZtPfTQQ3rvvfe0ceNGpaenJ3pIAIDzRPgGEYlEtGzZMnm9Xq1fv17WYB8SAgCSmhEXt5wPp9OpF154Qfv379ejjz6a6OEAAM5TSm9LNFImTJigV199Vddcc40uuugi3XPPPYkeEgAgToRviKZNm6aqqiotXbpUeXl5uvnmmxM9JABAHPiMb5hqamp0xx13aNOmTVqwYEGihwMAGCbCF4eXX35Zq1atOmeOX4s/qMqd9fI1tKs9EJbX7VJhrld3FsVOkwAAJA7hi9NPfvITPffcc6qpqdFfO6TV1XV640CzJMXs+t47Mb5kTo7KlhZofn52YgYMAJBE+OJm27YefPBBbW92yX/pTQqGuwfcAcKyeha9Li8t1IrFs8ZsnACAWExniJNlWfp15W9Vb2crEBo4epJk21JnKKKKqn3asOPwmIwRAHAuruqM054jbWrrDOkCx7l/hP73turY71efvsO2ZYeDyv3GU1JugSqqfJqXl83ODwCQAIQvTqur69TfSV7mFdcp84rrot/739msE7W/Vvr02ZKkQDiiNdV1bHALAAlA+OLQ4g/2XMhiS12NB3V8yzMKtzfJc3GRpt66SpYrdk1P/7tbNHHu9dHlzmxb2rq/Wa3+IFd7AsAY4zO+OFTurI/ePuXbpml3PaYL739WXc2H5N+7OebY8IkmBY+8p4lzr4+535JUuateAICxxRlfHHwN7dEpC1lFt8mVNUWSNKHganU1How51v/uFmXkXa607NyY+wPhbvmOdozNgAEAUZzxxaE9EI7edmZOjt62XBmyQ4GYY0+++0dlXnlDP68TGp0BAgD6Rfji4HUP7UQ5UP++Iv5jmjBnST+vkzaSwwIADAHhi0NhrlcZrsH/6E7u3aIJlxbLkTHhnMfcLocKZ2SNxvAAAAMgfHFYXpQ36DF2uEsnfTWa2M/bnLak5QsHfx0AwMhiybI43fv829q0r3HQFVv6YlnSzZdPZx4fACQAV3XGaWVJgbZ90KLOUGTYz3W7nCorKRiFUQFIRez8MrI44zsPG3YcVkXVPnWGugc/+BOeNIfKSy9joWoAg9pzpC1pd34ZzzEmfOepJ34+BcIRdmcAMGJyZuTJc8NKOWfOS6q/W5I5xkPFW53nacXiWZqXl6011XXaur9Zlnomp/fq/UW4bk6OykoKWJgawKA27Dists6QHJFuec6KXlfLh2r9nycUPn5UkpSeW6DJN96niqqeA0czfoP9Q7/3777X32/UmwdakvYf+pzxjaBWf1CVu+rlO9qh9kBIXneaCmdkafnC5D/1B5Ac9hxp092/3KEPfvp1TSl9UJ5ZC2Ie7w741R04KeekaZLdrY5dr8m/53V96p6fyZPm1Ev3Lh6Vf2D3nIGWyZE/f8jPSdaPdjjjG0FTMjN037WzEz0MAOPY6uo6BcI9F831tQi+w50phztTUs+C95bliJ79jdbOL73bsDkitjwDHNdW84JO1LygaXc/Ls+sBeoMdSflNmyEDwCSRO/OL73vw/Uugm+50tWw4WH5925W1mdKJUkfPvkl2V2dkm1r0t98VdLo7fwy0DZsvULHj+rU/j/JmXlBzP3JuA0b4QOAJHHmzi/SwIvgz1z1krq7Ajr57hY5vdOi9/fu/DJS7z4NdRu2Y5vWanLJN9T6h5/HPD8Zt2EjfACQJM7c+UXqYxF8/7GY4x3pbmV+5guq/+lXlfHtn8s5MVuBcLd++XKV/rx+tzwez6Bfbrd7wMf72obt7DPQk74aWQ6XPLM/Kyk2fNLIx/h8ET4ASBJn7vwyZLYtOxxUpKNVzonZkqQpufm6ZrpHnZ2d0a8TJ06ooaEh5r6hfF1wyz9q4hUlkvo+A+3u6lTbG+s17Uv/1u8Qk20bNsIHAEliKDu/dB76i5wer9KmzZIdCqrtzeflcGcqbWp+9JjLC2bpW1/6u/Mej23b+of//LO2HmiR1PcZaNu2X2niFdefs+fo2ZJpGzbCBwBJomfnl4aYtzvP1h08qWObnlako0WWK13pMz4dfftRGtmdXyzL0qQJ6QMeE/jrHkU6WtXxl9d6xneqXS2/+4G8i5dr0uLl0eOSaRs2wgcASWJ5UZ6e3HxAkpRXti7msexPrtyUpImFn+v3NUZ655feGPdn+pcrpMjpNYuPrl+lyTd8S55LiqL3Jds2bGxLBABJYmpmhpZemiPLiu/5ltWzStRIXj052DZsTo9XzszJ0S9Zjp65humnZ/wl2zZsrNwCAEmkd+WWeHZ+Ga2VW1JtGzbO+AAgiczPz1Z5aaE8acP767lnebDCUVkhZWVJgdwuZ1zPTcZt2AgfACSZFYtnqbz0MnnSnIO+7WlZPWd6o7kmZjLG+HzwVicAJKl36tuSaueXVNmGjfABQJJLpp1fki3G8SB8AIBhS6YYDxfhAwAYhYtbAABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYBTCBwAwCuEDABiF8AEAjEL4AABGIXwAAKMQPgCAUQgfAMAohA8AYJT/B7KpH982VS0jAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot network over time\n",
    "for i in range(10):\n",
    "    g1 = blue_heron.time_slice(i)\n",
    "    nx.draw(g1,with_labels=True)\n",
    "    #print()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "610a5c72",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#run epidemic model\n",
    "import ndlib.models.ModelConfig as mc\n",
    "%matplotlib inline\n",
    "from ndlib.viz.mpl.DiffusionTrend import DiffusionTrend\n",
    "#from ndlib.viz.mpl.DiffusionPrevalence import DiffusionPrevalence\n",
    "import ndlib.models.dynamic as dm\n",
    "\n",
    "# model selection\n",
    "model = dm.DynSIRModel(blue_heron)\n",
    "\n",
    "# model configuration\n",
    "config = mc.Configuration()\n",
    "config.add_model_parameter('beta', 0.4) # infection rate\n",
    "config.add_model_parameter('gamma', 0.2) # recovery rate\n",
    "config.add_model_parameter(\"percentage_infected\", 0.1)\n",
    "model.set_initial_status(config)\n",
    "\n",
    "# simulate snapshot based execution\n",
    "iterations = model.execute_snapshots()\n",
    "#iterations = model.execute_iterations()\n",
    "trends = model.build_trends(iterations)\n",
    "\n",
    "#visualize trends\n",
    "viz = DiffusionTrend(model, trends)\n",
    "viz.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d893c28d",
   "metadata": {},
   "source": [
    "Script 8-4: derive network centrality statistics for crocodile and blue heron networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "3f9a5c82",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  0 , nodes = 5 , max degree =  2\n",
      "diameter =  4\n",
      "radius =  2\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  1 , nodes = 6 , max degree =  2\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  2 , nodes = 6 , max degree =  2\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  3 , nodes = 6 , max degree =  1\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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w8/MTI0aMEI899pgoLCy0t4uOjhb33ntvu+vcfvvt4vbbb7d/bZv99MUXXzi0s834+f7U6c68PkIIceLECTF37lzRv39/oVKpREREhPjBD34gNm7caG/z1FNPifj4eBEUFCQ0Go0YMmSIWL58uaisrBRCCHHx4kWxePFiMWLECOHr6yv8/PzEuHHjxP/7f//PPo36RnJyckRqaqrQ6XRCo9GI2NjYdrPgSkpKxE9+8hMxcOBAoVKpRFhYmEhKShLPP/98u9fiH//4R7vn4nszj6qrq8WcOXNEYGCg/Xfj2rYvv/xyh7W+8MILIiYmRmg0GjFy5EixadMm++/utToz+0kIIVauXCkiIyOFXC7v8O/x4MGDAoB44YUXbvQSEvUamRBCSBGmiIjIs/zqV7/Chg0bUFZW1uGAcqLexttPRETULUeOHMF3332H9evX47HHHmOgIcmwp4aIiLpFJpPBx8cH99xzD/76179ybRqSDHtqiIioW/jZmFwFF98jIiIij8BQQ0RERB6BoYaIiIg8gleNqbFarbhw4QL8/f07XFaciIiIXI8QArW1tYiMjIRcfv3+GK8KNRcuXEBUVJTUZRAREVEXlJWV3XBTWa8KNbblvMvKyhAQECBxNURERNQZJpMJUVFRN91g16tCje2WU0BAAEMNERGRm7nZ0BEOFCYiIiKPwFBDREREHoGhhoiIiDwCQw0RERF5BIYaIiIi8ggMNUREROQRGGqIiIjIIzDUEBERkUdgqCEiIiKPwFBDREREHqFLoWb9+vXQ6/XQarWIi4tDZmbmddvu3r0bd911F8LCwhAQEIDExETs27evXbtdu3Zh1KhR0Gg0GDVqFN5///1uXZeIiIi8i9OhZufOnVi2bBlWrVqFvLw8JCcnIzU1FaWlpR22//zzz3HXXXdhz549yM3NxfTp0zFr1izk5eXZ2+Tk5GDevHlYsGABTpw4gQULFmDu3Lk4evRol69LRERE3kUmhBDOPCEhIQGTJk3Chg0b7MdGjhyJ2bNnIz09vVPnGD16NObNm4ff/e53AIB58+bBZDLh448/tre5++67ERQUhO3bt3f5umazGWaz2f61bZdPo9HIDS3d0HcXa/GP42VosTr1K0td0E+lwOKpMejvr5W6FCIimEwm6HS6m75/O7VLd1NTE3Jzc/HUU085HE9JSUF2dnanzmG1WlFbW4vg4GD7sZycHCxfvtyh3cyZM7Fu3bpuXTc9PR1r1qzpVF3k+p754GscK6mWugyvUdvYgudmj5G6DCKiTnMq1FRWVsJisSA8PNzheHh4OAwGQ6fO8cc//hH19fWYO3eu/ZjBYLjhObt63ZUrVyItLc3+ta2nhtxPnbkFX569DAB4dJoeGhXHuPeW8ppG7M47j88LL0ldChGRU5wKNTYymczhayFEu2Md2b59O1avXo0PP/wQ/fv3d/qczl5Xo9FAo9HctC5yfUeLq9BiFYgO8cEz942SuhyPVmduwYcnLuBsVQPKqhsQFewjdUlERJ3i1Mfd0NBQKBSKdr0jFRUV7XpRvm/nzp1YsmQJ3nvvPcyYMcPhexERETc8Z3euS54hs7ASADB1aKjElXg+P40SE6MCAQBZpyulLYaIyAlOhRq1Wo24uDhkZGQ4HM/IyEBSUtJ1n7d9+3YsXrwY7777Lu699952309MTGx3zv3799vP2dXrkuewvbkmM9T0iWnDWl/nrEKGGiJyH07ffkpLS8OCBQsQHx+PxMREvPnmmygtLcXSpUsBtI5jOX/+PLZt2wagNdAsXLgQr732GqZMmWLvbenXrx90Oh0A4Mknn8Rtt92GF198Effffz8+/PBDfPLJJ8jKyur0dclzlRuv4HRFHWQyICmWoaYvJA8LxbpPCnG4qBIWq4BCfvPby0REUnM61MybNw9VVVVYu3YtysvLMWbMGOzZswfR0dEAgPLycoe1Y/7yl7+gpaUFjz/+OB5//HH78UWLFmHr1q0AgKSkJOzYsQPPPPMMfvvb3yI2NhY7d+5EQkJCp69Lnuvw6SoAwLiBOuh8VBJX4x3GDQqEn0aJmoZmfHPBhLGDdFKXRER0U06vU+POOjvPnVzLsh15+CD/Ah6fHotfzxwhdTle49G3j+OTgov437uH4+d3DJW6HCLyYp19/+a8WHJpQghktfXUTBsaJnE13iWZ42qIyM0w1JBL++/FWlTWmdFPpcCk6ECpy/Eqtplmx89cxpUmi8TVEBHdHEMNuTRbL8FkfTA0SoXE1XiX2DBfDNBp0WSx4oszXMmZiFwfQw25NNv6NLZbIdR3ZDIZprX11nC9GiJyBww15LLMLRYcLWkbT8NQIwnb657JcTVE5AYYashlfXm2Bo3NVoT6aTA83F/qcrySbVxNQbkJlXXmm7QmIpIWQw25rKzTrRsqThsa0qm9xajnhfppMHJA6/TJw7wFRUQujqGGXJZtkPC0YZzKLSVO7SYid8FQQy7J2NCMr84bAcA+WJWkYbsFdfh0JbxorU4ickMMNeSSsosqIQQwtL8fInRaqcvxapNjgqFWyHHB2IjiynqpyyEiui6GGnJJmW3jN9hLI71+agXiY4IA8BYUEbk2hhpySbZBqVyfxjXYpnZzvRoicmUMNeRyyqobcLaqAUq5DAlDQqQuh3C1x+xIURVaLFaJqyEi6hhDDbkc20JvEwcHwk+jlLgaAoDRkToE+qhQa27BiXM1UpdDRNQhhhpyOVfXp+FUblehkMswNZarCxORa2OoIZdisQpkF9m2RuCtJ1dy7dRuIiJXxFBDLuXUBSNqGprhr1Fi/KBAqcuha9gGbeeV1qDO3CJxNURE7THUkEux3dqYEhsCpYK/nq4kKtgH0SE+aLEKHGnrTSMiciV81yCXwqncrs02C4pTu4nIFTHUkMu40mTB8TOXAVwdv0GuhaGGiFwZQw25jGNnqtFksSJSp8WQUF+py6EOJMWGQi4DTlfUodx4RepyiIgcMNSQy8gqbJvKPSwUMplM4mqoIzofFca2DeDmlglE5GoYashlZJ1uHXzKW0+ubdrQ1qn2nNpNRK6GoYZcwqVaMwrKTQAYalydbVHErNNVEEJIXA0R0VUMNeQSsotaP/WPGhCAUD+NxNXQjUyKDkQ/lQKVdWZ8a6iVuhwiIjuGGnIJtvEZnMrt+jRKBRKGBAPgLSgici0MNSQ5IYR9ijBvPbkH29Ru7gNFRK6EoYYkV3SpHuXGRqiVckzWB0tdDnXCtLYetaMlVTC3WCSuhoioFUMNSc42lfvWmCBoVQqJq6HOGB7uj1A/DRqbrcg9e1nqcoiIADDUkAvgVG73I5PJOLWbiFwOQw1JqtlixZHi1lCT3DZVmNzDtGFtU7s5roaIXESXQs369euh1+uh1WoRFxeHzMzM67YtLy/Hww8/jOHDh0Mul2PZsmXt2txxxx2QyWTtHvfee6+9zerVq9t9PyIioivlkws5UVaDOnMLgnxUGB0ZIHU55ATbYOGvzhtR09AkcTVERF0INTt37sSyZcuwatUq5OXlITk5GampqSgtLe2wvdlsRlhYGFatWoXx48d32Gb37t0oLy+3P77++msoFAo8+OCDDu1Gjx7t0O7kyZPOlk8uxjbrKWloKORybo3gTiJ0Wgzr7wchgJyiKqnLISJyPtS8+uqrWLJkCR599FGMHDkS69atQ1RUFDZs2NBh+5iYGLz22mtYuHAhdDpdh22Cg4MRERFhf2RkZMDHx6ddqFEqlQ7twsJufLvCbDbDZDI5PMi12G5dTON4GrdkGweVyXE1ROQCnAo1TU1NyM3NRUpKisPxlJQUZGdn91hRmzdvxvz58+Hr67hTc2FhISIjI6HX6zF//nwUFxff8Dzp6enQ6XT2R1RUVI/VSN1X29iMvLIaAAw17sq2WCLH1RCRK3Aq1FRWVsJisSA8PNzheHh4OAwGQ48UdOzYMXz99dd49NFHHY4nJCRg27Zt2LdvHzZt2gSDwYCkpCRUVV2/23vlypUwGo32R1lZWY/USD3jSHE1LFaBmBAfRAX7SF0OdUHCkBAo5TKUVjegtKpB6nKIyMt1aaCwTOY49kEI0e5YV23evBljxozB5MmTHY6npqbigQcewNixYzFjxgz85z//AQC8/fbb1z2XRqNBQECAw4Ncx2GuIuz2/DRKTBwcCODq+CgiIqk4FWpCQ0OhUCja9cpUVFS0673pioaGBuzYsaNdL01HfH19MXbsWBQWFnb7uiSNzLZF97jfk3u7umv3JYkrISJv51SoUavViIuLQ0ZGhsPxjIwMJCUldbuY9957D2azGY888shN25rNZhQUFGDAgAHdvi71vXLjFRRdqodcBiTGMtS4M9uWCYdPV8FiFRJXQ0TeTOnsE9LS0rBgwQLEx8cjMTERb775JkpLS7F06VIAreNYzp8/j23bttmfk5+fDwCoq6vDpUuXkJ+fD7VajVGjRjmce/PmzZg9ezZCQkLaXXfFihWYNWsWBg8ejIqKCjz//PMwmUxYtGiRsz8CuQDbwNJxgwKh66eSuBrqjvGDdPDXKGG80oxTF4wYNyhQ6pKIyEs5HWrmzZuHqqoqrF27FuXl5RgzZgz27NmD6OhoAK2L7X1/zZqJEyfa/5ybm4t3330X0dHROHPmjP34d999h6ysLOzfv7/D6547dw4PPfQQKisrERYWhilTpuDIkSP265J7sY2/4Kwn96dUyDElNgQZ31xEZmElQw0RSUYmhPCa/mKTyQSdTgej0chBwxKyWgUm/+ETVNY1YcdPp2DKkPY9c+RetuWcwe8+PIXEISHY/tMpUpdDRB6ms+/f3PuJ+ty3hlpU1jWhn0qBSYODpC6HeoCtxy337GVcabJIXA0ReSuGGupztqncCUOCoVbyV9AT6EN9EanToslixbEz1VKXQ0Reiu8o1OcyOZ7G48hkMvssqKxCTu0mImkw1FCfamy24FhJ6yrQycNuvHcXuZdpbX+fmdwygYgkwlBDferL0stobLYizF+DW8L9pC6HetDU2NYB398aanGp1ixxNUTkjRhqqE9duyt3T22tQa4hxE+DUQNaZyVkF7G3hoj6HkMN9SmuT+PZbFte8BYUEUmBoYb6TE1DE06eNwK4urQ+eZarg4Ur4UVLYBGRi2CooT6TXVQFIYBh/f0QHqCVuhzqBbfGtE7TN5gaUXSpXupyiMjLMNRQn7HdkmAvjefSqhS4NaZ1QUVO7SaivsZQQ30m63Trm1wyQ41Hmza0dWq3bfwUEVFfYaihPlFa1YCy6itQymWYrOdeT57MFlqPFFej2WKVuBoi8iYMNdQnMtt6aSYNDoKfxunN4cmNjBoQgCAfFerMLThRViN1OUTkRRhqqE9kcTyN15DLZUgayqndRNT3GGqo11msAtlFrVsjMNR4h+S2UHOY42qIqA8x1FCv+/q8EcYrzfDXKjFuoE7qcqgPTG0LNXllNahtbJa4GiLyFgw11Otss2ASh4RAqeCvnDeICvZBTIgPLFaBI8XVUpdDRF6C7zDU6zILOZXbG11dXZjr1RBR32CooV7V0NSCL8/WALh6S4K8g21/L65XQ0R9haGGetWxkmo0WawYGNgP+lBfqcuhPpQYGwq5DCi6VI9y4xWpyyEiL8BQQ73KPpV7aChkMpnE1VBf0vVTYdygQACc2k1EfYOhhnqV7dYDp3J7J9s4Kk7tJqK+wFBDveZSrRnfGmoBAEmx3BrBG029Zr0aq1VIXA0ReTqGGuo1tk/noyMDEOKnkbgaksKkwUHwUStQWddkD7hERL2FoYZ6TSa3RvB6aqUcCfpgAFd3aSci6i0MNdQrhBD2npppnMrt1abap3ZXSVwJEXk6hhrqFUWX6mAwNUKtlOPWmGCpyyEJJQ8LAwAcK6lCY7NF4mqIyJMx1FCvsN16mhwTDK1KIXE1JKVbwv3Q31+DxmYrvjx7WepyiMiDMdRQrzjMqdzURiaTcXVhIuoTDDXU45otVvsmhhxPQ8C142oYaoio9zDUUI/LL6tBnbkFwb5qjBoQIHU55AJsPXYnzxtxub5J4mqIyFN1KdSsX78eer0eWq0WcXFxyMzMvG7b8vJyPPzwwxg+fDjkcjmWLVvWrs3WrVshk8naPRobG7t8XZKObTxNUmwI5HJujUBAeIAWt4T7QQggu4izoIiodzgdanbu3Illy5Zh1apVyMvLQ3JyMlJTU1FaWtphe7PZjLCwMKxatQrjx4+/7nkDAgJQXl7u8NBqtV2+LkmHU7mpI7wFRUS9zelQ8+qrr2LJkiV49NFHMXLkSKxbtw5RUVHYsGFDh+1jYmLw2muvYeHChdDpdNc9r0wmQ0REhMOjO9cFWgOVyWRyeFDvMjU2I7+sBgAHCZMj2z5QXISPiHqLU6GmqakJubm5SElJcTiekpKC7OzsbhVSV1eH6OhoDBo0CPfddx/y8vK6fd309HTodDr7Iyoqqls10s0dKaqCxSqgD/XFoCAfqcshF5KgD4FKIUNZ9RWcraqXuhwi8kBOhZrKykpYLBaEh4c7HA8PD4fBYOhyESNGjMDWrVvx0UcfYfv27dBqtZg6dSoKCwu7dd2VK1fCaDTaH2VlZV2ukTqHt57oenw1SkwcHASAt6CIqHcou/Ikmcxx8KcQot0xZ0yZMgVTpkyxfz116lRMmjQJf/rTn/D66693+boajQYaDTdS7EuZbW9WUxlqqAPThobiWEk1sgor8eOEaKnLISIP41RPTWhoKBQKRbvekYqKina9KN0qSi7Hrbfeau+p6avrUvdcqLmC4kv1kMuAxNgQqcshF2QbZ5XddpuSiKgnORVq1Go14uLikJGR4XA8IyMDSUlJPVaUEAL5+fkYMGBAn16XuierbSr3+KhA6PqpJK6GXNG4gTr4a5UwXmnGyfNGqcshIg/j9O2ntLQ0LFiwAPHx8UhMTMSbb76J0tJSLF26FEDrOJbz589j27Zt9ufk5+cDaB0MfOnSJeTn50OtVmPUqFEAgDVr1mDKlCkYNmwYTCYTXn/9deTn5+ONN97o9HVJelkcT0M3oVTIkTgkBPu/uYjDpysxISpQ6pKIyIM4HWrmzZuHqqoqrF27FuXl5RgzZgz27NmD6OjW++Pl5eXt1o6ZOHGi/c+5ubl49913ER0djTNnzgAAampq8NOf/hQGgwE6nQ4TJ07E559/jsmTJ3f6uiQtq1VwkDB1SvKwUOz/5iIyCy/h8elDpS6HiDyITAjhNTe2TSYTdDodjEYjAgK4fH9POnXBiHtfz4KPWoH836VAreQOHNSxksp6TH/lIFQKGU48mwIfdZfmKxCRF+ns+zffeahH2HpppgwJYaChG4oJ8cHAwH5otggcK6mWuhwi8iB896EeYdvviVO56WZkMpn9FqVtcDkRUU9gqKFua2y22D9xJ3NrBOqEacO4DxQR9TyGGuq2L89ehrnFiv7+Ggzr7yd1OeQGbD163xpqUVHbKHE1ROQpGGqo2zKvmfXUnZWlyXsE+6oxOrJ1sF/26SqJqyEiT8FQQ91mGxfBXbnJGbbfl0yOqyGiHsJQQ91yub4JX19oXRmW69OQM5KHhgEAsk5fghetLEFEvYihhrolu6gKQgC3hPuhf4BW6nLIjcTHBEGjlOOiyYyiS3VSl0NEHoChhrol6/QlAMC0tk/dRJ2lVSlwa0wwAN6CIqKewVBDXSaEsL8ZcSo3dYV9ajdDDRH1AIYa6rLS6gacu3wFKoUMk/XBUpdDbsg2DutIcRWaLVaJqyEid8dQQ11m66WZODgIvhru30POGzUgAMG+atQ3WZBfViN1OUTk5hhqqMtstwySOeuJukgulyEpNgQAx9UQUfcx1FCXWKwC2UVcn4a6L9k+ruaSxJUQkbtjqKEuOXneCFNjC/y1SowdqJO6HHJj04a1zpw7cc4IU2OzxNUQkTtjqKEusX2qTooNgVLBXyPquoGB/aAP9YXFKnCkiFsmEFHX8d2IuiTTvjUC16eh7rPNguKu3UTUHQw15LSGphZ8WXoZAAcJU8+wr1fDUENE3cBQQ047WlKNZovAwMB+iA7xkboc8gBThoRALgOKL9XjQs0VqcshIjfFUENOy7pmFWGZTCZxNeQJdP1UGB8VCICrCxNR1zHUkNOyCjmVm3qe7VZmJm9BEVEXMdSQUypqG/Hfi7WQyYCkWIYa6jm2QefZpythtQqJqyEid8RQQ0453PYpenRk6/L2RD1lQlQgfNQKVNU3ocBgkrocInJDDDXkFPtU7qGcyk09S62UY8qQ1i0TOK6GiLqCoYY6TQhh76lJ5nga6gVcr4aIuoOhhjrtdEUdLprM0CjliIsOkroc8kC2wefHSqrR2GyRuBoicjcMNdRptltPk/XB0KoUEldDnmhYfz+EB2hgbrEi9+xlqcshIjfDUEOdZrslMI2rCFMvkclkmGqb2s1xNUTkJIYa6pRmixVHils3G5zKUEO9yBaaD3NcDRE5iaGGOiWvtAYNTRaE+KoxakCA1OWQB7OFmq8vGHG5vkniaojInTDUUKdkFV4CACQNDYVczq0RqPf0D9BieLg/hAAOF7G3hog6r0uhZv369dDr9dBqtYiLi0NmZuZ125aXl+Phhx/G8OHDIZfLsWzZsnZtNm3ahOTkZAQFBSEoKAgzZszAsWPHHNqsXr0aMpnM4REREdGV8qkLbONpuCs39QXbLCjegiIiZzgdanbu3Illy5Zh1apVyMvLQ3JyMlJTU1FaWtphe7PZjLCwMKxatQrjx4/vsM3Bgwfx0EMP4cCBA8jJycHgwYORkpKC8+fPO7QbPXo0ysvL7Y+TJ086Wz51gamxGSfOGQEAU7k+DfWBadcMFhaCWyYQUec4HWpeffVVLFmyBI8++ihGjhyJdevWISoqChs2bOiwfUxMDF577TUsXLgQOp2uwzbvvPMOfv7zn2PChAkYMWIENm3aBKvVik8//dShnVKpREREhP0RFnbjVW3NZjNMJpPDg5yXU1QFi1VgSKgvBgb2k7oc8gIJQ4KhUshw7vIVnK1qkLocInITToWapqYm5ObmIiUlxeF4SkoKsrOze6yohoYGNDc3Izg42OF4YWEhIiMjodfrMX/+fBQXF9/wPOnp6dDpdPZHVFRUj9XoTbgrN/U1H7USkwa3LvDIXbuJqLOcCjWVlZWwWCwIDw93OB4eHg6DwdBjRT311FMYOHAgZsyYYT+WkJCAbdu2Yd++fdi0aRMMBgOSkpJQVVV13fOsXLkSRqPR/igrK+uxGr2JbVwDp3JTX7JP7eZ6NUTUScquPEkmc5z9IoRod6yrXnrpJWzfvh0HDx6EVqu1H09NTbX/eezYsUhMTERsbCzefvttpKWldXgujUYDjUbTI3V5q/M1V1BcWQ+FXIbE2BCpyyEvMm1YKP6Y8R2yiyphsQooOOuOiG7CqZ6a0NBQKBSKdr0yFRUV7XpvuuKVV17BH/7wB+zfvx/jxo27YVtfX1+MHTsWhYWF3b4uXZ9tKvf4QToEaFUSV0PeZNygQARolTA1tuCrczVSl0NEbsCpUKNWqxEXF4eMjAyH4xkZGUhKSupWIS+//DKee+457N27F/Hx8TdtbzabUVBQgAEDBnTrunRjWadbb+9NG3bjQdlEPU0hlyEpllO7iajznJ79lJaWhrfeegtbtmxBQUEBli9fjtLSUixduhRA6ziWhQsXOjwnPz8f+fn5qKurw6VLl5Cfn49vvvnG/v2XXnoJzzzzDLZs2YKYmBgYDAYYDAbU1dXZ26xYsQKHDh1CSUkJjh49ijlz5sBkMmHRokVd/dnpJqxWYX8z4X5PJAXbEgLcB4qIOsPpMTXz5s1DVVUV1q5di/LycowZMwZ79uxBdHQ0gNbF9r6/Zs3EiRPtf87NzcW7776L6OhonDlzBkDrYn5NTU2YM2eOw/OeffZZrF69GgBw7tw5PPTQQ6isrERYWBimTJmCI0eO2K9LPe+bchOq65vgq1Zg4uBAqcshL2Rb7PHL0suoN7fAV9OlYYBE5CVkwotWtjKZTNDpdDAajQgI4P5FN/OXQ0VI//hb3DmiPzYvvlXqcsgLCSGQ/NIBnLt8BX9dfCumj+gvdUlEJIHOvn9z7ye6rixO5SaJyWQy+63PLI6rIaKbYKihDjU2W3CspBoAkMxF90hCtkUfsziuhohugqGGOnT8zGWYW6wID9BgaH8/qcshLzY1NhQyGfDfi7WoMDVKXQ4RuTCGGurQtbeeemphRaKuCPJVY0xk675xh4vYW0NE18dQQx3KOt266B5vPZErmDqUU7uJ6OYYaqid6vomnLrQuqM5BwmTK0i+ZlyNF03YJCInMdRQO9lFlRACGBHhj/7+2ps/gaiXxUUHQaOUo6LWjMKKups/gYi8EkMNtWObZcJeGnIVWpUCk/XBADgLioiuj6GGHAgh7OMWpnE8DbkQrldDRDfDUEMOzlQ14HzNFagUMiS0fTImcgW2kH2kuApNLVaJqyEiV8RQQw5sn4InDQ6Cj5r77JDrGBkRgBBfNRqaLMgvq5G6HCJyQQw15CCrkFO5yTXJ5TIk2W5Btf2eEhFdi6GG7FosVmQXVQEApg0Lk7gaovZsu3ZnclwNEXWAoYbsTp43oraxBQFaJcYO1EldDlE7U9t6EE+U1cDU2CxxNUTkahhqyM42VTYpNhQKObdGINczMLAfhoT6wiqAnLZeRSIiG4YasrN16XMqN7ky7tpNRNfDUEMAgHpzC/JKLwPgIGFybVyvhoiuh6GGAADHSqrRbBEYFNQPg4N9pC6H6LqmxIZAIZehpLIe5y43SF0OEbkQhhoCcHX34+RhoZDJOJ6GXFeAVoXxg1oHsh9mbw0RXYOhhgAAWadb1/2YNpRTucn12ZYcyOS4GiK6BkMNocLUiO8u1kEmA5JiQ6Quh+imbOO+souqYLUKiashIlfBUEP2AZdjInUI8lVLXA3RzU2ICoSvWoHq+iZ8U26SuhwichEMNWSfGsup3OQuVAo5pgxp7VXkLCgismGo8XJCCPubgm0JeiJ3wPVqiOj7GGq8XGFFHSpqzdAo5ZgUHSR1OUSdZhtXc+xMNRqbLRJXQ0SugKHGy9lmj0zWB0OrUkhcDVHnxYb5ITxAg6YWK46fuSx1OUTkAhhqvFxWYetUbq4iTO5GJpPZlyDIbFuSgIi8G0ONF2tqseJoSTUArk9D7skWxrkIHxEBDDVeLa/0MhqaLAjxVWNEhL/U5RA5LWlo6wyoUxdMqK5vkrgaIpIaQ40Xs816mjo0FHI5t0Yg99PfX4sREf4Qgr01RMRQ49UyuT4NeQD7rt2c2k3k9boUatavXw+9Xg+tVou4uDhkZmZet215eTkefvhhDB8+HHK5HMuWLeuw3a5duzBq1ChoNBqMGjUK77//freuSzdmvNKMr87VALj6pkDkjuzr1ZyuhBDcMoHImzkdanbu3Illy5Zh1apVyMvLQ3JyMlJTU1FaWtphe7PZjLCwMKxatQrjx4/vsE1OTg7mzZuHBQsW4MSJE1iwYAHmzp2Lo0ePdvm6dGM5RVWwCmBImC8iA/tJXQ5Rl03WB0OtkON8zRWcqWqQuhwikpBMOPnRJiEhAZMmTcKGDRvsx0aOHInZs2cjPT39hs+94447MGHCBKxbt87h+Lx582AymfDxxx/bj919990ICgrC9u3bu3xds9kMs9ls/9pkMiEqKgpGoxEBAQGd/pk90TMfnMTfj5RiUWI01tw/RupyiLpl/ps5OFJcjefuH40FiTFSl0NEPcxkMkGn0930/dupnpqmpibk5uYiJSXF4XhKSgqys7O7Vilae2q+f86ZM2faz9nV66anp0On09kfUVFRXa7R0xw+XQUAmDaMU7nJ/SW3/R5zHygi7+ZUqKmsrITFYkF4eLjD8fDwcBgMhi4XYTAYbnjOrl535cqVMBqN9kdZWVmXa/Qk5y43oKSyHgq5DAlDgqUuh6jbpraNC8suqkKLxSpxNUQkFWVXniSTOU7/FUK0O9Yb53T2uhqNBhqNplt1eSLbLJEJUYEI0Kokroao+8YO1EHXT9U6AP68EZMGcx8zIm/kVE9NaGgoFApFu96RioqKdr0ozoiIiLjhOXvrut7K1kXPWU/kKRRyGZJiWxfi49RuIu/lVKhRq9WIi4tDRkaGw/GMjAwkJSV1uYjExMR259y/f7/9nL11XW9ktQpkF9nG0zDUkOe4dmo3EXknp28/paWlYcGCBYiPj0diYiLefPNNlJaWYunSpQBax7GcP38e27Ztsz8nPz8fAFBXV4dLly4hPz8farUao0aNAgA8+eSTuO222/Diiy/i/vvvx4cffohPPvkEWVlZnb4udc435a3LyftplJgQFSh1OUQ9xtbzmFd6GfXmFvhqunR3nYjcmNP/6ufNm4eqqiqsXbsW5eXlGDNmDPbs2YPo6GgArYvtfX/tmIkTJ9r/nJubi3fffRfR0dE4c+YMACApKQk7duzAM888g9/+9reIjY3Fzp07kZCQ0OnrUufYVhGeMiQYKgUXlCbPER3ii6jgfiirvoKjJVX4wQjemibyNk6vU+POOjvP3ZM98tZRZJ2uxOpZo7B4ql7qcoh61MrdJ7H9WCl+MlWP380aJXU5RNRDemWdGnJvjc0WHDtTDYDjacgz2feBOn1J4kqISAoMNV7kizPVaGqxIiJAi9gwP6nLIepxSbEhkMmA7y7W4aKpUepyiKiPMdR4EftU7mGh3V5XiMgVBfmqMXagDgCndhN5I4YaL2L7T57r05Ans60ufJhTu4m8DkONl6iqM+PUBROAq//pE3mi5KFX16vxonkQRASGGq9xuG3BvRER/gjz59YR5LniYoKgVclRUWvGdxfrpC6HiPoQQ42XOMxbT+QlNEoFJuvbtkzgLSgir8JQ4wWEEA6DhIk83bShtn2gOLWbyJsw1HiBksp6nK+5ArVCjoS2T7BEnmza0DAAwNGS1mUMiMg7MNR4AdsskLjoIPRTKySuhqj3jYjwR6ifGg1NFnxZelnqcoiojzDUeAHbfk+89UTeQi6XISmWU7uJvA1DjYdrsViR0zbziYOEyZvYQnwmF+Ej8hoMNR7uxDkjas0t0PVTYUzbSqtE3iC5LdR8da4GxoZmiashor7AUOPhbF3vSbEhUMi5NQJ5jwG6fogN84VVADnFVVKXQ0R9gKHGw2VxPA15Me7aTeRdGGo8WJ25xT7zI7ltiiuRN5k2rPX3nptbEnkHhhoPdqykCi1WgcHBPhgc4iN1OUR9bsqQYCjkMpypakBZdYPU5RBRL2Oo8WC2WR/cwJK8lb9WhQlRgQA4tZvIGzDUeDBbl3syx9OQF7ONq8lkqCHyeAw1HspgbERhRR1kstaZT0Teyhbqs09XwmoVEldDRL2JocZD2braxw7UIdBHLXE1RNIZHxUIP40Slxua8U25SepyiKgXMdR4KPuu3BxPQ15OpZBjypBgAFxdmMjTMdR4ICHE1VDD8TREXK+GyEsw1Hig7y7W4VKtGVqVHHHRQVKXQyQ523o1X5y5jMZmi8TVEFFvYajxQJmFrZ9GJ+tDoFEqJK6GSHqxYb6ICNCiqcWKL85US10OEfUShhoPZLv1lMzxNEQAAJlMZr8Vy9WFiTwXQ42HMbdYcLS49ZMox9MQXWWb2s3BwkSei6HGw+SV1uBKswWhfmoMD/eXuhwil5EU2xpqvik3oarOLHE1RNQbGGo8TNY1WyPI5TKJqyFyHWH+GoyIaA36h4uqJK6GiHoDQ42HyeT6NETXlWwfV8Op3USeiKHGgxgbmnHyXA0Ajqch6ohtandWYSWE4JYJRJ6mS6Fm/fr10Ov10Gq1iIuLQ2Zm5g3bHzp0CHFxcdBqtRgyZAg2btzo8P077rgDMpms3ePee++1t1m9enW770dERHSlfI+VU1wJq2idvjpA10/qcohczuSYYKgVclwwNqKksl7qcoiohzkdanbu3Illy5Zh1apVyMvLQ3JyMlJTU1FaWtph+5KSEtxzzz1ITk5GXl4enn76aTzxxBPYtWuXvc3u3btRXl5uf3z99ddQKBR48MEHHc41evRoh3YnT550tnyPlmnflTtM4kqIXFM/tcK+IGUWd+0m8jhKZ5/w6quvYsmSJXj00UcBAOvWrcO+ffuwYcMGpKent2u/ceNGDB48GOvWrQMAjBw5EsePH8crr7yCBx54AAAQHBzs8JwdO3bAx8enXahRKpVO9c6YzWaYzVdnOZhMnr2Z3WGOpyG6qWnDQpFTXIXMwkosTIyRuhwi6kFO9dQ0NTUhNzcXKSkpDsdTUlKQnZ3d4XNycnLatZ85cyaOHz+O5ubmDp+zefNmzJ8/H76+vg7HCwsLERkZCb1ej/nz56O4uPiG9aanp0On09kfUVFRN/sR3VZZdQPOVDVAIZchYUjwzZ9A5KVsg4WPFFWhxWKVuBoi6klOhZrKykpYLBaEh4c7HA8PD4fBYOjwOQaDocP2LS0tqKxs3/177NgxfP311/aeIJuEhARs27YN+/btw6ZNm2AwGJCUlISqqutPzVy5ciWMRqP9UVZW1tkf1e3YutInRgXCX6uSuBoi1zU6UgddPxVqzS04cc4odTlE1IO6NFBYJnNc/0QI0e7Yzdp3dBxo7aUZM2YMJk+e7HA8NTUVDzzwAMaOHYsZM2bgP//5DwDg7bffvu51NRoNAgICHB6eyrY+DWc9Ed2YQi7D1KEhALhlApGncSrUhIaGQqFQtOuVqaioaNcbYxMREdFhe6VSiZCQEIfjDQ0N2LFjR7temo74+vpi7NixKCwsdOZH8EhWq8DhItsgYYYaopuZNrR1MP1hDhYm8ihOhRq1Wo24uDhkZGQ4HM/IyEBSUlKHz0lMTGzXfv/+/YiPj4dK5Xib5L333oPZbMYjjzxy01rMZjMKCgowYMAAZ34Ej3Tqggk1Dc3w0ygxblCg1OUQuTzbYPovSy+jztwicTVE1FOcvv2UlpaGt956C1u2bEFBQQGWL1+O0tJSLF26FEDrOJaFCxfa2y9duhRnz55FWloaCgoKsGXLFmzevBkrVqxod+7Nmzdj9uzZ7XpwAGDFihU4dOgQSkpKcPToUcyZMwcmkwmLFi1y9kfwOJmnW1dHnTIkBCoF11MkupnBIT4YHOyDFqvA0WJumUDkKZye0j1v3jxUVVVh7dq1KC8vx5gxY7Bnzx5ER0cDAMrLyx3WrNHr9dizZw+WL1+ON954A5GRkXj99dft07ltvvvuO2RlZWH//v0dXvfcuXN46KGHUFlZibCwMEyZMgVHjhyxX9eb2brQeeuJqPOmDQvFu0dLkVlYiTtHdnz7nIjci0x40VrhJpMJOp0ORqPRYwYNNzZbMG7NfjS1WPFJ2u0Y2t9P6pKI3MLHJ8vxs3e+xLD+fshIu13qcojoBjr7/s17FW7uWEk1mlqsGKDTIjbM9+ZPICIAQGJsCGQyoLCiDgZjo9TlEFEPYKhxc1nXrCJ8o2n1ROQo0EeNcQN1ALhlApGnYKhxc1yfhqjrbP9uOLWbyDMw1Lixyjozvilv3c9qKvd7InKa7d9N1ulKeNHwQiKPxVDjxmyfLkcOCECon0biaojcT1x0EPqpFLhUa8Z/L9ZKXQ4RdRNDjRvjVG6i7tEoFZisb90AllsmELk/hho3JYSw/yfMW09EXWf7UMDBwkTuj6HGTRVX1uOCsRFqhRyTY4KlLofIbdk+FBwtroa5xSJxNUTUHQw1bsrWSxMfE4R+aoXE1RC5rxER/gj10+BKswVfnq2Ruhwi6gaGGjdl6yrnrSei7pHJZJg2tHW/OU7tJnJvDDVuqMVixZGi1k34OEiYqPtsHw4yGWqI3BpDjRs6ca4GteYWBPqoMDpSJ3U5RG4veVgYAODkuRoYG5olroaIuoqhxg1lFbb20kyNDYVCzq0RiLorQqfF0P5+sAogu4i9NUTuiqHGDWWdvgSA42mIetK0oZzaTeTuGGrcTJ25BXmlNQA4noaoJzHUELk/hho3c6SoCi1WgegQH0QF+0hdDpHHmBIbAqVchrNVDSirbpC6HCLqAoYaN8Op3ES9w0+jxMTBgQDYW0Pkrhhq3IztP9tkhhqiHmfftZv7QBG5JYYaN1JuvILTFXWQy4CkWIYaop5mG6d2uKgSFquQuBoichZDjRs5fLp1KvfYQYHQ+agkrobI84wfFAg/jRI1Dc345oJJ6nKIyEkMNW4kq7B1KrdtSXci6llKhRxThrT++8psWzqBiNwHQ42bEEIgq62nZtrQMImrIfJctltQHFdD5H4YatzEt4ZaVNaZ0U+lwKToQKnLIfJY09pCzfEzl3GlySJxNUTkDIYaN2HbPXiyPhgapULiaog815BQX0TqtGiyWPHFmWqpyyEiJzDUuInMtq5wriJM1LtkMtnVqd1cr4bIrTDUuAFziwVHS9rG0zDUEPU627+zTI6rIXIrDDVu4MuzNWhstiLUT4Ph4f5Sl0Pk8Ww9NQXlJlTWmSWuhog6i6HGDdh25Z42NAQymUziaog8X6ifBiMHBAC4Op6NiFwfQ40bsE0tnTaMU7mJ+gqndhO5H4YaF2dsaMZX540AgGnc74moz0y7ZrCwENwygcgdMNS4uOyiSggBDO3vhwidVupyiLzGZH0w1Eo5yo2NKK6sl7ocIuqELoWa9evXQ6/XQ6vVIi4uDpmZmTdsf+jQIcTFxUGr1WLIkCHYuHGjw/e3bt0KmUzW7tHY2Nit63qCzLb7+eylIepbWpUC8dFBAHgLishdOB1qdu7ciWXLlmHVqlXIy8tDcnIyUlNTUVpa2mH7kpIS3HPPPUhOTkZeXh6efvppPPHEE9i1a5dDu4CAAJSXlzs8tNqrPRPOXtdTZHF9GiLJcGo3kXuRCSdvFickJGDSpEnYsGGD/djIkSMxe/ZspKent2v/m9/8Bh999BEKCgrsx5YuXYoTJ04gJycHQGtPzbJly1BTU9Nj1wUAs9kMs/nqdEyTyYSoqCgYjUYEBAR0+meWSmlVA257+QCUchnyn02Bn0YpdUlEXuXkOSNm/TkLfhol8n93F5QK3rEnkoLJZIJOp7vp+7dT/0KbmpqQm5uLlJQUh+MpKSnIzs7u8Dk5OTnt2s+cORPHjx9Hc3Oz/VhdXR2io6MxaNAg3HfffcjLy+vWdQEgPT0dOp3O/oiKiur0z+oKbKuZThwcyEBDJIFRkQEI9FGhztyCE+dqpC6HiG7CqVBTWVkJi8WC8PBwh+Ph4eEwGAwdPsdgMHTYvqWlBZWVrW/aI0aMwNatW/HRRx9h+/bt0Gq1mDp1KgoLC7t8XQBYuXIljEaj/VFWVubMjyu5q+vTcCo3kRQUchmmxvIWFJG76FJf6vcXgBNC3HBRuI7aX3t8ypQpeOSRRzB+/HgkJyfjvffewy233II//elP3bquRqNBQECAw8NdWKwC2UXcGoFIatO4Xg2R23Aq1ISGhkKhULTrHamoqGjXi2ITERHRYXulUomQkJCOi5LLceutt9p7arpyXXd36oIRNQ3N8NcoMX6QTupyiLyWbeZhXlkNahubb9KaiKTkVKhRq9WIi4tDRkaGw/GMjAwkJSV1+JzExMR27ffv34/4+HioVKoOnyOEQH5+PgYMGNDl67o7W1f3lNgQDk4kklBUsA+iQ3xgsQocLa6WuhwiugGn3y3T0tLw1ltvYcuWLSgoKMDy5ctRWlqKpUuXAmgdx7Jw4UJ7+6VLl+Ls2bNIS0tDQUEBtmzZgs2bN2PFihX2NmvWrMG+fftQXFyM/Px8LFmyBPn5+fZzdua6noZTuYlcx7WrCxOR63J6Ss28efNQVVWFtWvXory8HGPGjMGePXsQHR0NACgvL3dYO0av12PPnj1Yvnw53njjDURGRuL111/HAw88YG9TU1ODn/70pzAYDNDpdJg4cSI+//xzTJ48udPX9SRXmizIPXsZABfdI3IFycNC8c7RUoYaIhfn9Do17qyz89yldui7S1i05RgidVocfuoH3JmbSGLGhmZMfG4/rALIWfkDDND1k7okIq/SK+vUUN/IKmybyj0slIGGyAXofFQYOygQAGdBEbkyhhoXlHXaNpWb69MQuYpkjqshcnkMNS7mUq0ZBeUmAEBSbMdT3omo79nWqzl8uhJedNeeyK0w1LiY7KLWT4GjBgQg1E8jcTVEZDNxcCD6qRSorGvCt4Zaqcshog4w1LiYTE7lJnJJGqUCCUOCAXBcDZGrYqhxIUIIHG67X8+tEYhcD9erIXJtDDUupOhSPcqNjVAr5bg1Jljqcojoe2wfNo6WVMHcYpG4GiL6PoYaF2Kbyn1rTBC0KoXE1RDR9w0P90eYvwaNzVb7AplE5DoYalyIfSr3UE7lJnJFMpns6i0ojqshcjkMNS6i2WLFkWJbqOF4GiJXZfv3eZjjaohcDkONizhRVoM6cwuCfFQYHem6WzgQebupbaHmq/NG1DQ0SVwNEV2LocZF2KZyJw0NhVzOrRGIXFWEToth/f0gBJBdVCV1OUR0DYYaF2Gfys1bT0QuzzYLilO7iVwLQ40LqG1sRl5ZDQCGGiJ3wMHCRK6JocYFHCmuhsUqEBPig6hgH6nLIaKbSBgSAqVchtLqBpRWNUhdDhG1YahxAVxFmMi9+GmUmDQ4CABvQRG5EoYaF5DZtugebz0RuY+r42ouSVwJEdkw1Eis3HgFRZfqIZcBibEMNUTuYqp9vZoqWKxC4mqICGCokZxtKve4QYHQ9VNJXA0Rddb4QTr4a5UwXmnG1+eNUpdDRGCokRynchO5J6VCjsQhIQA4robIVTDUSMhqFRwkTOTG7ONqOLWbyCUw1EjoW0MtKuua4KNW2GdSEJH7sPWw5p69jCtNFomrISKGGgnZemkS9MFQK/lXQeRu9KG+GBjYD00WK46dqZa6HCKvx3dSCWW2hZqpHE9D5JZkMtk1qwtzajeR1BhqJNLYbMGxktbN8JKHhUlcDRF11dS2cTWZHFdDJDmGGol8WXoZjc1WhPlrcEu4n9TlEFEXTY1tnQH1raEWl2rNEldD5N0YaiRimy0xbWgoZDKZxNUQUVeF+GkwOjIAAJBdxN4aIikx1Egki+vTEHkM279j3oIikhZDjQQu1zfhZNsKpFyfhsj9XbtejRDcMoFIKgw1EsgproIQwC3hfggP0EpdDhF1060xrcsyGEyNKLpUL3U5RF6LoUYCti5qTuUm8gxalQK3xrQuoMmp3UTS6VKoWb9+PfR6PbRaLeLi4pCZmXnD9ocOHUJcXBy0Wi2GDBmCjRs3Onx/06ZNSE5ORlBQEIKCgjBjxgwcO3bMoc3q1ashk8kcHhEREV0pX3JZp1v/00vmrScijzFtaOvSDNwHikg6ToeanTt3YtmyZVi1ahXy8vKQnJyM1NRUlJaWdti+pKQE99xzD5KTk5GXl4enn34aTzzxBHbt2mVvc/DgQTz00EM4cOAAcnJyMHjwYKSkpOD8+fMO5xo9ejTKy8vtj5MnTzpbvuRKqxpQVn0FSrkMCfoQqcshoh5i+5BypLgazRarxNUQeSels0949dVXsWTJEjz66KMAgHXr1mHfvn3YsGED0tPT27XfuHEjBg8ejHXr1gEARo4ciePHj+OVV17BAw88AAB45513HJ6zadMm/POf/8Snn36KhQsXXi1WqXSqd8ZsNsNsvrpuhMlk6vRze0tmWy/NpMFB8NU4/fITkYsaNSAAQT4qXG5oxomyGsTHBEtdEpHXcaqnpqmpCbm5uUhJSXE4npKSguzs7A6fk5OT0679zJkzcfz4cTQ3N3f4nIaGBjQ3NyM42PE/hcLCQkRGRkKv12P+/PkoLi6+Yb3p6enQ6XT2R1RU1M1+xF5nX5+Gt56IPIpcLkMSp3YTScqpUFNZWQmLxYLw8HCH4+Hh4TAYDB0+x2AwdNi+paUFlZUd/8N/6qmnMHDgQMyYMcN+LCEhAdu2bcO+ffuwadMmGAwGJCUloaqq6rr1rly5Ekaj0f4oKyvr7I/aKyxWgeyi1noZaog8T7JtHyiOqyGSRJfuf3x/BVwhxA1Xxe2ofUfHAeCll17C9u3bcfDgQWi1V6c7p6am2v88duxYJCYmIjY2Fm+//TbS0tI6vK5Go4FGo7n5D9RHvj5vhPFKM/y1SowbqJO6HCLqYbYPK/llNahtbIa/ViVxRUTexamemtDQUCgUina9MhUVFe16Y2wiIiI6bK9UKhES4jhQ9pVXXsEf/vAH7N+/H+PGjbthLb6+vhg7diwKCwud+REkZfv0ljgkBEoFZ9MTeZpBQT6ICfGBxSpwpLha6nKIvI5T76xqtRpxcXHIyMhwOJ6RkYGkpKQOn5OYmNiu/f79+xEfHw+V6uqnmJdffhnPPfcc9u7di/j4+JvWYjabUVBQgAEDBjjzI0gqs5BTuYk83dXVhbleDVFfc7q7IC0tDW+99Ra2bNmCgoICLF++HKWlpVi6dCmA1nEs185YWrp0Kc6ePYu0tDQUFBRgy5Yt2Lx5M1asWGFv89JLL+GZZ57Bli1bEBMTA4PBAIPBgLq6OnubFStW4NChQygpKcHRo0cxZ84cmEwmLFq0qDs/f59paGrBl2drAADThoVJWwwR9RrbejWZHFdD1OecHlMzb948VFVVYe3atSgvL8eYMWOwZ88eREdHAwDKy8sd1qzR6/XYs2cPli9fjjfeeAORkZF4/fXX7dO5gdbF/JqamjBnzhyHaz377LNYvXo1AODcuXN46KGHUFlZibCwMEyZMgVHjhyxX9fVHSupRpPFioGB/RAT4iN1OUTUSxJjQyCXAcWX6nGh5goiA/tJXRKR15AJL9p9zWQyQafTwWg0IiAgoE+v/fy/v8FbWSWYFx+FF+fceLwQEbm32W8cRn5ZDV6aMw5z46VfSoLI3XX2/ZujVfuIbZAwp3ITeb7ka3btJqK+w1DTBypqG/GtoRYAN7Ek8gbT2v6dHz5dCavVazrDiSTHUNMHsk+3Lrg3OjIAwb5qiashot42cXAQfNQKVNU32T/QEFHvY6jpA5ncGoHIq6iVciToW7d5yTrNqd1EfYWhppcJIXC4bTxN8lBO5SbyFralG7gPFFHfYajpZUWX6mAwNUKtlCM+Jkjqcoioj9gGC39xphqNzRaJqyHyDgw1vcz2KW1yTDC0KoXE1RBRXxnW3w/9/TVobLbiy7OXpS6HyCsw1PSyLI6nIfJKMpnMPguKqwsT9Q2Gml7UbLHiSHHrzKdpnMpN5HVsH2YOM9QQ9QmGml6UX1aD+iYLgn3VGDWgb1cwJiLp2dalOnneiMv1TRJXQ+T5GGp6kW08TVJsCORymcTVEFFfCw/Q4pZwPwgBZBdVSV0OkcdjqOlF9qncHE9D5LVsu3ZzvRqi3sdQ00tMjc3IL6sBwK0RiLyZfR8ojqsh6nUMNb3kSFEVLFYBfagvBgX5SF0OEUlksj4YKoUMZdVXcLaqXupyiDwaQ00vse/KzV4aIq/mq1Fi4uDWhTe5ujBR72Ko6SW2UMNbT0SUPJRTu4n6AkNNL7hQcwXFl+ohlwGJsSFSl0NEEpvaNq4mu+22NBH1DoaaXmBbRXh8VCB0/VQSV0NEUhs3UAd/rRLGK804ed4odTlEHouhphdk2Xfl5q0nIgKUCjmS2npteQuKqPcw1PQwq1XY/9PieBoispk2rHW9msxCrldD1FsYanpYgcGEqvom+KgV9hkPRES2mZC5Zy+joalF4mqIPBNDTQ+zjaeZMiQEaiVfXiJqFRPig4GB/dBsEThaUi11OUQeie+6PYxTuYmoIzKZzL668GGuV0PUKxhqelBjswXH2j6Bcb8nIvo+24cdbplA1DsYanpQ7tnLMLdYER6gwbD+flKXQ0QuZurQUMhkwLeGWlTUNkpdDpHHYajpQdfeepLJZBJXQ0SuJthXjdGRAQCA7NNVEldD5HkYanqQbZAw93siouuZNtQ2tZu3oIh6GkNND7lc34SvL7SuFMpQQ0TXM80+ruYShOCWCUQ9iaGmh2QXVUEIYHi4P/oHaKUuh4hcVHxMEDRKOS6azDhdUSd1OUQehaGmh2Sdbl0llFO5iehGtCoFJuuDAXAWFFFPY6jpAUII+/1xTuUmopuxT+3muBqiHtWlULN+/Xro9XpotVrExcUhMzPzhu0PHTqEuLg4aLVaDBkyBBs3bmzXZteuXRg1ahQ0Gg1GjRqF999/v9vX7Stnqxpw7vIVqBQyJAwJlrocInJxtnE1R4qr0GyxSlwNkedwOtTs3LkTy5Ytw6pVq5CXl4fk5GSkpqaitLS0w/YlJSW45557kJycjLy8PDz99NN44oknsGvXLnubnJwczJs3DwsWLMCJEyewYMECzJ07F0ePHu3ydfuSrQt50uAg+KiVEldDRK5u1IAAhPiqUd9kQX5ZjdTlEHkMmXBy+H1CQgImTZqEDRs22I+NHDkSs2fPRnp6erv2v/nNb/DRRx+hoKDAfmzp0qU4ceIEcnJyAADz5s2DyWTCxx9/bG9z9913IygoCNu3b+/SdQHAbDbDbDbbvzaZTIiKioLRaERAQIAzP/YNLf1bLvaeMuBXd92CX945rMfOS0Se65fb8/CvExeQoA/GqMie+/+ISGppd90Cf62qR89pMpmg0+lu+v7tVLdCU1MTcnNz8dRTTzkcT0lJQXZ2dofPycnJQUpKisOxmTNnYvPmzWhuboZKpUJOTg6WL1/ers26deu6fF0ASE9Px5o1azr743WJxSqQXdS2Pg3H0xBRJ91+Sxj+deICjpZUc4NL8ig/uyO2x0NNZzkVaiorK2GxWBAeHu5wPDw8HAaDocPnGAyGDtu3tLSgsrISAwYMuG4b2zm7cl0AWLlyJdLS0uxf23pqelKL1Ypn7h2FoyXVGDcosEfPTUSe6/4JkahpaMLlhiapSyHqUVIOw+jSlb+/BYAQ4obbAnTU/vvHO3NOZ6+r0Wig0Wiu+/2eoFEqMPfWKMy9tWfDEhF5NpVCjkeTh0hdBpFHcWqgcGhoKBQKRbvekYqKina9KDYREREdtlcqlQgJCblhG9s5u3JdIiIi8i5OhRq1Wo24uDhkZGQ4HM/IyEBSUlKHz0lMTGzXfv/+/YiPj4dKpbphG9s5u3JdIiIi8jLCSTt27BAqlUps3rxZfPPNN2LZsmXC19dXnDlzRgghxFNPPSUWLFhgb19cXCx8fHzE8uXLxTfffCM2b94sVCqV+Oc//2lvc/jwYaFQKMQLL7wgCgoKxAsvvCCUSqU4cuRIp6/bGUajUQAQRqPR2R+biIiIJNLZ92+nQ40QQrzxxhsiOjpaqNVqMWnSJHHo0CH79xYtWiRuv/12h/YHDx4UEydOFGq1WsTExIgNGza0O+c//vEPMXz4cKFSqcSIESPErl27nLpuZzDUEBERuZ/Ovn87vU6NO+vsPHciIiJyHZ19/+beT0REROQRGGqIiIjIIzDUEBERkUdgqCEiIiKPwFBDREREHoGhhoiIiDwCQw0RERF5BIYaIiIi8gjS7Q8uAds6gyaTSeJKiIiIqLNs79s3Wy/Yq0JNbW0tACAqKkriSoiIiMhZtbW10Ol01/2+V22TYLVaceHCBfj7+0Mmk/XYeU0mE6KiolBWVsbtF3oRX+e+w9e6b/B17ht8nftGb77OQgjU1tYiMjIScvn1R854VU+NXC7HoEGDeu38AQEB/AfTB/g69x2+1n2Dr3Pf4OvcN3rrdb5RD40NBwoTERGRR2CoISIiIo/AUNMDNBoNnn32WWg0GqlL8Wh8nfsOX+u+wde5b/B17huu8Dp71UBhIiIi8lzsqSEiIiKPwFBDREREHoGhhoiIiDwCQw0RERF5BIYaIiIi8ggMNT1g/fr10Ov10Gq1iIuLQ2ZmptQleZTPP/8cs2bNQmRkJGQyGT744AOpS/JI6enpuPXWW+Hv74/+/ftj9uzZ+O9//yt1WR5nw4YNGDdunH3V1cTERHz88cdSl+Xx0tPTIZPJsGzZMqlL8TirV6+GTCZzeEREREhSC0NNN+3cuRPLli3DqlWrkJeXh+TkZKSmpqK0tFTq0jxGfX09xo8fjz//+c9Sl+LRDh06hMcffxxHjhxBRkYGWlpakJKSgvr6eqlL8yiDBg3CCy+8gOPHj+P48eP4wQ9+gPvvvx+nTp2SujSP9cUXX+DNN9/EuHHjpC7FY40ePRrl5eX2x8mTJyWpg+vUdFNCQgImTZqEDRs22I+NHDkSs2fPRnp6uoSVeSaZTIb3338fs2fPlroUj3fp0iX0798fhw4dwm233SZ1OR4tODgYL7/8MpYsWSJ1KR6nrq4OkyZNwvr16/H8889jwoQJWLdundRleZTVq1fjgw8+QH5+vtSlsKemO5qampCbm4uUlBSH4ykpKcjOzpaoKqKeYTQaAbS+4VLvsFgs2LFjB+rr65GYmCh1OR7p8ccfx7333osZM2ZIXYpHKywsRGRkJPR6PebPn4/i4mJJ6vCqXbp7WmVlJSwWC8LDwx2Oh4eHw2AwSFQVUfcJIZCWloZp06ZhzJgxUpfjcU6ePInExEQ0NjbCz88P77//PkaNGiV1WR5nx44dyM3NxfHjx6UuxaMlJCRg27ZtuOWWW3Dx4kU8//zzSEpKwqlTpxASEtKntTDU9ACZTObwtRCi3TEid/KLX/wCX331FbKysqQuxSMNHz4c+fn5qKmpwa5du7Bo0SIcOnSIwaYHlZWV4cknn8T+/fuh1WqlLsejpaam2v88duxYJCYmIjY2Fm+//TbS0tL6tBaGmm4IDQ2FQqFo1ytTUVHRrveGyF388pe/xEcffYTPP/8cgwYNkrocj6RWqzF06FAAQHx8PL744gu89tpr+Mtf/iJxZZ4jNzcXFRUViIuLsx+zWCz4/PPP8ec//xlmsxkKhULCCj2Xr68vxo4di8LCwj6/NsfUdINarUZcXBwyMjIcjmdkZCApKUmiqoi6RgiBX/ziF9i9ezc+++wz6PV6qUvyGkIImM1mqcvwKHfeeSdOnjyJ/Px8+yM+Ph4//vGPkZ+fz0DTi8xmMwoKCjBgwIA+vzZ7aropLS0NCxYsQHx8PBITE/Hmm2+itLQUS5culbo0j1FXV4fTp0/bvy4pKUF+fj6Cg4MxePBgCSvzLI8//jjeffddfPjhh/D397f3QOp0OvTr10/i6jzH008/jdTUVERFRaG2thY7duzAwYMHsXfvXqlL8yj+/v7txoP5+voiJCSE48R62IoVKzBr1iwMHjwYFRUVeP7552EymbBo0aI+r4WhppvmzZuHqqoqrF27FuXl5RgzZgz27NmD6OhoqUvzGMePH8f06dPtX9vu0S5atAhbt26VqCrPY1uW4I477nA4/te//hWLFy/u+4I81MWLF7FgwQKUl5dDp9Nh3Lhx2Lt3L+666y6pSyPqknPnzuGhhx5CZWUlwsLCMGXKFBw5ckSS90GuU0NEREQegWNqiIiIyCMw1BAREZFHYKghIiIij8BQQ0RERB6BoYaIiIg8AkMNEREReQSGGiIiIvIIDDVERETkERhqiIiIyCMw1BAREZFHYKghIiIij/D/AXOq958a3XGgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  4 , nodes = 6 , max degree =  2\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  5 , nodes = 2 , max degree =  1\n",
      "diameter =  1\n",
      "radius =  1\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  6 , nodes = 6 , max degree =  2\n",
      "diameter =  5\n",
      "radius =  3\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  7 , nodes = 7 , max degree =  2\n",
      "diameter =  6\n",
      "radius =  3\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  8 , nodes = 7 , max degree =  2\n",
      "Infinite value observed.\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "timestamp =  9 , nodes = 7 , max degree =  2\n",
      "Infinite value observed.\n"
     ]
    }
   ],
   "source": [
    "#obtain network centrality statistics for blue heron network\n",
    "for i in range(10):\n",
    "    dg = blue_heron.time_slice(i)\n",
    "    try:\n",
    "        dd = nx.betweenness_centrality(dg)# computing betweenness centrality\n",
    "        plt.plot(dd.values())\n",
    "        plt.title(\"betweenneess centrality\")\n",
    "        print()\n",
    "        plt.show()\n",
    "        print (\"timestamp = \", i,\",\", \"nodes =\", len(dg.nodes()),\",\", \"max degree = \",max(dg.degree().values()))\n",
    "        print (\"diameter = \", nx.diameter(dg))\n",
    "        print (\"radius = \", nx.radius(dg))\n",
    "    except:\n",
    "        print('Infinite value observed.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ded19f61",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
